(X-2-5i)(x-2+5i)(x+2)(x-1)=0

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Solution for (X-2-5i)(x-2+5i)(x+2)(x-1)=0 equation:


Simplifying
(X + -2 + -5i)(x + -2 + 5i)(x + 2)(x + -1) = 0

Reorder the terms:
(-2 + X + -5i)(x + -2 + 5i)(x + 2)(x + -1) = 0

Reorder the terms:
(-2 + X + -5i)(-2 + 5i + x)(x + 2)(x + -1) = 0

Reorder the terms:
(-2 + X + -5i)(-2 + 5i + x)(2 + x)(x + -1) = 0

Reorder the terms:
(-2 + X + -5i)(-2 + 5i + x)(2 + x)(-1 + x) = 0

Multiply (-2 + X + -5i) * (-2 + 5i + x)
(-2(-2 + 5i + x) + X(-2 + 5i + x) + -5i * (-2 + 5i + x))(2 + x)(-1 + x) = 0
((-2 * -2 + 5i * -2 + x * -2) + X(-2 + 5i + x) + -5i * (-2 + 5i + x))(2 + x)(-1 + x) = 0
((4 + -10i + -2x) + X(-2 + 5i + x) + -5i * (-2 + 5i + x))(2 + x)(-1 + x) = 0
(4 + -10i + -2x + (-2 * X + 5i * X + x * X) + -5i * (-2 + 5i + x))(2 + x)(-1 + x) = 0
(4 + -10i + -2x + (-2X + 5iX + xX) + -5i * (-2 + 5i + x))(2 + x)(-1 + x) = 0
(4 + -10i + -2x + -2X + 5iX + xX + (-2 * -5i + 5i * -5i + x * -5i))(2 + x)(-1 + x) = 0

Reorder the terms:
(4 + -10i + -2x + -2X + 5iX + xX + (10i + -5ix + -25i2))(2 + x)(-1 + x) = 0
(4 + -10i + -2x + -2X + 5iX + xX + (10i + -5ix + -25i2))(2 + x)(-1 + x) = 0

Reorder the terms:
(4 + -2X + -10i + 10i + 5iX + -5ix + -25i2 + -2x + xX)(2 + x)(-1 + x) = 0

Combine like terms: -10i + 10i = 0
(4 + -2X + 0 + 5iX + -5ix + -25i2 + -2x + xX)(2 + x)(-1 + x) = 0
(4 + -2X + 5iX + -5ix + -25i2 + -2x + xX)(2 + x)(-1 + x) = 0

Multiply (4 + -2X + 5iX + -5ix + -25i2 + -2x + xX) * (2 + x)
(4(2 + x) + -2X * (2 + x) + 5iX * (2 + x) + -5ix * (2 + x) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
((2 * 4 + x * 4) + -2X * (2 + x) + 5iX * (2 + x) + -5ix * (2 + x) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
((8 + 4x) + -2X * (2 + x) + 5iX * (2 + x) + -5ix * (2 + x) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + (2 * -2X + x * -2X) + 5iX * (2 + x) + -5ix * (2 + x) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + (-4X + -2xX) + 5iX * (2 + x) + -5ix * (2 + x) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + (2 * 5iX + x * 5iX) + -5ix * (2 + x) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + (10iX + 5ixX) + -5ix * (2 + x) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + (2 * -5ix + x * -5ix) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + (-10ix + -5ix2) + -25i2 * (2 + x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + -10ix + -5ix2 + (2 * -25i2 + x * -25i2) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + -10ix + -5ix2 + (-50i2 + -25i2x) + -2x * (2 + x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + -10ix + -5ix2 + -50i2 + -25i2x + (2 * -2x + x * -2x) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + -10ix + -5ix2 + -50i2 + -25i2x + (-4x + -2x2) + xX(2 + x))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + -10ix + -5ix2 + -50i2 + -25i2x + -4x + -2x2 + (2 * xX + x * xX))(-1 + x) = 0
(8 + 4x + -4X + -2xX + 10iX + 5ixX + -10ix + -5ix2 + -50i2 + -25i2x + -4x + -2x2 + (2xX + x2X))(-1 + x) = 0

Reorder the terms:
(8 + -4X + 10iX + -10ix + 5ixX + -5ix2 + -50i2 + -25i2x + 4x + -4x + -2xX + 2xX + -2x2 + x2X)(-1 + x) = 0

Combine like terms: 4x + -4x = 0
(8 + -4X + 10iX + -10ix + 5ixX + -5ix2 + -50i2 + -25i2x + 0 + -2xX + 2xX + -2x2 + x2X)(-1 + x) = 0
(8 + -4X + 10iX + -10ix + 5ixX + -5ix2 + -50i2 + -25i2x + -2xX + 2xX + -2x2 + x2X)(-1 + x) = 0

Combine like terms: -2xX + 2xX = 0
(8 + -4X + 10iX + -10ix + 5ixX + -5ix2 + -50i2 + -25i2x + 0 + -2x2 + x2X)(-1 + x) = 0
(8 + -4X + 10iX + -10ix + 5ixX + -5ix2 + -50i2 + -25i2x + -2x2 + x2X)(-1 + x) = 0

Multiply (8 + -4X + 10iX + -10ix + 5ixX + -5ix2 + -50i2 + -25i2x + -2x2 + x2X) * (-1 + x)
(8(-1 + x) + -4X * (-1 + x) + 10iX * (-1 + x) + -10ix * (-1 + x) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
((-1 * 8 + x * 8) + -4X * (-1 + x) + 10iX * (-1 + x) + -10ix * (-1 + x) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
((-8 + 8x) + -4X * (-1 + x) + 10iX * (-1 + x) + -10ix * (-1 + x) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + (-1 * -4X + x * -4X) + 10iX * (-1 + x) + -10ix * (-1 + x) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + (4X + -4xX) + 10iX * (-1 + x) + -10ix * (-1 + x) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + (-1 * 10iX + x * 10iX) + -10ix * (-1 + x) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + (-10iX + 10ixX) + -10ix * (-1 + x) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + (-1 * -10ix + x * -10ix) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + (10ix + -10ix2) + 5ixX * (-1 + x) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + (-1 * 5ixX + x * 5ixX) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + (-5ixX + 5ix2X) + -5ix2 * (-1 + x) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + (-1 * -5ix2 + x * -5ix2) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + (5ix2 + -5ix3) + -50i2 * (-1 + x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + (-1 * -50i2 + x * -50i2) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + (50i2 + -50i2x) + -25i2x * (-1 + x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + 50i2 + -50i2x + (-1 * -25i2x + x * -25i2x) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + 50i2 + -50i2x + (25i2x + -25i2x2) + -2x2 * (-1 + x) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + 50i2 + -50i2x + 25i2x + -25i2x2 + (-1 * -2x2 + x * -2x2) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + 50i2 + -50i2x + 25i2x + -25i2x2 + (2x2 + -2x3) + x2X(-1 + x)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + 50i2 + -50i2x + 25i2x + -25i2x2 + 2x2 + -2x3 + (-1 * x2X + x * x2X)) = 0
(-8 + 8x + 4X + -4xX + -10iX + 10ixX + 10ix + -10ix2 + -5ixX + 5ix2X + 5ix2 + -5ix3 + 50i2 + -50i2x + 25i2x + -25i2x2 + 2x2 + -2x3 + (-1x2X + x3X)) = 0

Reorder the terms:
(-8 + 4X + -10iX + 10ix + 10ixX + -5ixX + -10ix2 + 5ix2 + 5ix2X + -5ix3 + 50i2 + -50i2x + 25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X) = 0

Combine like terms: 10ixX + -5ixX = 5ixX
(-8 + 4X + -10iX + 10ix + 5ixX + -10ix2 + 5ix2 + 5ix2X + -5ix3 + 50i2 + -50i2x + 25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X) = 0

Combine like terms: -10ix2 + 5ix2 = -5ix2
(-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -50i2x + 25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X) = 0

Combine like terms: -50i2x + 25i2x = -25i2x
(-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X) = 0

Solving
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + 8 + x3X = 0 + 8

Reorder the terms:
-8 + 8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 8
4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 8

Combine like terms: 0 + 8 = 8
4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8

Add '-10ix' to each side of the equation.
4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + -10ix + x3X = 8 + -10ix

Reorder the terms:
4X + -10iX + 10ix + -10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix

Combine like terms: 10ix + -10ix = 0
4X + -10iX + 0 + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix
4X + -10iX + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix

Add '5ix2' to each side of the equation.
4X + -10iX + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + 5ix2 + x3X = 8 + -10ix + 5ix2

Reorder the terms:
4X + -10iX + 5ixX + -5ix2 + 5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2

Combine like terms: -5ix2 + 5ix2 = 0
4X + -10iX + 5ixX + 0 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2
4X + -10iX + 5ixX + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2

Add '5ix3' to each side of the equation.
4X + -10iX + 5ixX + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + 5ix3 + x3X = 8 + -10ix + 5ix2 + 5ix3

Reorder the terms:
4X + -10iX + 5ixX + 5ix2X + -5ix3 + 5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3

Combine like terms: -5ix3 + 5ix3 = 0
4X + -10iX + 5ixX + 5ix2X + 0 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3
4X + -10iX + 5ixX + 5ix2X + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3

Add '-50i2' to each side of the equation.
4X + -10iX + 5ixX + 5ix2X + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + -50i2 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2

Reorder the terms:
4X + -10iX + 5ixX + 5ix2X + 50i2 + -50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2

Combine like terms: 50i2 + -50i2 = 0
4X + -10iX + 5ixX + 5ix2X + 0 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2
4X + -10iX + 5ixX + 5ix2X + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2

Add '25i2x' to each side of the equation.
4X + -10iX + 5ixX + 5ix2X + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + 25i2x + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x

Reorder the terms:
4X + -10iX + 5ixX + 5ix2X + -25i2x + 25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x

Combine like terms: -25i2x + 25i2x = 0
4X + -10iX + 5ixX + 5ix2X + 0 + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x
4X + -10iX + 5ixX + 5ix2X + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x

Add '25i2x2' to each side of the equation.
4X + -10iX + 5ixX + 5ix2X + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + 25i2x2 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2

Reorder the terms:
4X + -10iX + 5ixX + 5ix2X + -25i2x2 + 25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2

Combine like terms: -25i2x2 + 25i2x2 = 0
4X + -10iX + 5ixX + 5ix2X + 0 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2
4X + -10iX + 5ixX + 5ix2X + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2

Add '-8x' to each side of the equation.
4X + -10iX + 5ixX + 5ix2X + 8x + -4xX + 2x2 + -1x2X + -2x3 + -8x + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x

Reorder the terms:
4X + -10iX + 5ixX + 5ix2X + 8x + -8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x

Combine like terms: 8x + -8x = 0
4X + -10iX + 5ixX + 5ix2X + 0 + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x
4X + -10iX + 5ixX + 5ix2X + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x

Add '-2x2' to each side of the equation.
4X + -10iX + 5ixX + 5ix2X + -4xX + 2x2 + -1x2X + -2x3 + -2x2 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2

Reorder the terms:
4X + -10iX + 5ixX + 5ix2X + -4xX + 2x2 + -2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2

Combine like terms: 2x2 + -2x2 = 0
4X + -10iX + 5ixX + 5ix2X + -4xX + 0 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2
4X + -10iX + 5ixX + 5ix2X + -4xX + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2

Add '2x3' to each side of the equation.
4X + -10iX + 5ixX + 5ix2X + -4xX + -1x2X + -2x3 + 2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
4X + -10iX + 5ixX + 5ix2X + -4xX + -1x2X + 0 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2 + 2x3
4X + -10iX + 5ixX + 5ix2X + -4xX + -1x2X + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2 + 2x3

Reorder the terms:
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -10ix + 5ix2 + 5ix3 + -50i2 + 25i2x + 25i2x2 + -8x + -2x2 + 2x3 + -8 + 10ix + -5ix2 + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + 2x2 + -2x3

Reorder the terms:
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 8 + -8 + -10ix + 10ix + 5ix2 + -5ix2 + 5ix3 + -5ix3 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: 8 + -8 = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + -10ix + 10ix + 5ix2 + -5ix2 + 5ix3 + -5ix3 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = -10ix + 10ix + 5ix2 + -5ix2 + 5ix3 + -5ix3 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: -10ix + 10ix = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 5ix2 + -5ix2 + 5ix3 + -5ix3 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 5ix2 + -5ix2 + 5ix3 + -5ix3 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: 5ix2 + -5ix2 = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 5ix3 + -5ix3 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 5ix3 + -5ix3 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: 5ix3 + -5ix3 = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = -50i2 + 50i2 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: -50i2 + 50i2 = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 25i2x + -25i2x + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: 25i2x + -25i2x = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 25i2x2 + -25i2x2 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: 25i2x2 + -25i2x2 = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = -8x + 8x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: -8x + 8x = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + -2x2 + 2x2 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: -2x2 + 2x2 = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0 + 2x3 + -2x3
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-8 + 4X + -10iX + 10ix + 5ixX + -5ix2 + 5ix2X + -5ix3 + 50i2 + -25i2x + -25i2x2 + 8x + -4xX + 2x2 + -1x2X + -2x3 + x3X = 0

The solution to this equation could not be determined.

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