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

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


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

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

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

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

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

Reorder the terms:
(-10i + -5iX + 2x + xX)(5i + x) = 0
(-10i + -5iX + 2x + xX)(5i + x) = 0

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

Reorder the terms:
((-10ix + -50i2) + -5iX * (5i + x) + 2x * (5i + x) + xX(5i + x)) = 0
((-10ix + -50i2) + -5iX * (5i + x) + 2x * (5i + x) + xX(5i + x)) = 0
(-10ix + -50i2 + (5i * -5iX + x * -5iX) + 2x * (5i + x) + xX(5i + x)) = 0

Reorder the terms:
(-10ix + -50i2 + (-5ixX + -25i2X) + 2x * (5i + x) + xX(5i + x)) = 0
(-10ix + -50i2 + (-5ixX + -25i2X) + 2x * (5i + x) + xX(5i + x)) = 0
(-10ix + -50i2 + -5ixX + -25i2X + (5i * 2x + x * 2x) + xX(5i + x)) = 0
(-10ix + -50i2 + -5ixX + -25i2X + (10ix + 2x2) + xX(5i + x)) = 0
(-10ix + -50i2 + -5ixX + -25i2X + 10ix + 2x2 + (5i * xX + x * xX)) = 0
(-10ix + -50i2 + -5ixX + -25i2X + 10ix + 2x2 + (5ixX + x2X)) = 0

Reorder the terms:
(-10ix + 10ix + -5ixX + 5ixX + -50i2 + -25i2X + 2x2 + x2X) = 0

Combine like terms: -10ix + 10ix = 0
(0 + -5ixX + 5ixX + -50i2 + -25i2X + 2x2 + x2X) = 0
(-5ixX + 5ixX + -50i2 + -25i2X + 2x2 + x2X) = 0

Combine like terms: -5ixX + 5ixX = 0
(0 + -50i2 + -25i2X + 2x2 + x2X) = 0
(-50i2 + -25i2X + 2x2 + x2X) = 0

Solving
-50i2 + -25i2X + 2x2 + x2X = 0

Solving for variable 'i'.

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

Add '-2x2' to each side of the equation.
-50i2 + -25i2X + 2x2 + -2x2 + x2X = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-50i2 + -25i2X + 0 + x2X = 0 + -2x2
-50i2 + -25i2X + x2X = 0 + -2x2
Remove the zero:
-50i2 + -25i2X + x2X = -2x2

Add '-1x2X' to each side of the equation.
-50i2 + -25i2X + x2X + -1x2X = -2x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
-50i2 + -25i2X + 0 = -2x2 + -1x2X
-50i2 + -25i2X = -2x2 + -1x2X

Reorder the terms:
-50i2 + -25i2X + 2x2 + x2X = -2x2 + 2x2 + -1x2X + x2X

Combine like terms: -2x2 + 2x2 = 0
-50i2 + -25i2X + 2x2 + x2X = 0 + -1x2X + x2X
-50i2 + -25i2X + 2x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
-50i2 + -25i2X + 2x2 + x2X = 0

The solution to this equation could not be determined.

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