(x+1)[x-(5-2i)][x-(5+2i)]=0

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


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

Reorder the terms:
(1 + x)[x + -1(5 + -2i)][x + -1(5 + 2i)] = 0
(1 + x)[x + (5 * -1 + -2i * -1)][x + -1(5 + 2i)] = 0
(1 + x)[x + (-5 + 2i)][x + -1(5 + 2i)] = 0

Reorder the terms:
(1 + x)[-5 + 2i + x][x + -1(5 + 2i)] = 0
(1 + x)[-5 + 2i + x][x + (5 * -1 + 2i * -1)] = 0
(1 + x)[-5 + 2i + x][x + (-5 + -2i)] = 0

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

Multiply (1 + x) * [-5 + 2i + x]
(1[-5 + 2i + x] + x[-5 + 2i + x])[-5 + -2i + x] = 0
([-5 * 1 + 2i * 1 + x * 1] + x[-5 + 2i + x])[-5 + -2i + x] = 0
([-5 + 2i + 1x] + x[-5 + 2i + x])[-5 + -2i + x] = 0
(-5 + 2i + 1x + [-5 * x + 2i * x + x * x])[-5 + -2i + x] = 0

Reorder the terms:
(-5 + 2i + 1x + [2ix + -5x + x2])[-5 + -2i + x] = 0
(-5 + 2i + 1x + [2ix + -5x + x2])[-5 + -2i + x] = 0

Reorder the terms:
(-5 + 2i + 2ix + 1x + -5x + x2)[-5 + -2i + x] = 0

Combine like terms: 1x + -5x = -4x
(-5 + 2i + 2ix + -4x + x2)[-5 + -2i + x] = 0

Multiply (-5 + 2i + 2ix + -4x + x2) * [-5 + -2i + x]
(-5[-5 + -2i + x] + 2i * [-5 + -2i + x] + 2ix * [-5 + -2i + x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0
([-5 * -5 + -2i * -5 + x * -5] + 2i * [-5 + -2i + x] + 2ix * [-5 + -2i + x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0
([25 + 10i + -5x] + 2i * [-5 + -2i + x] + 2ix * [-5 + -2i + x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0
(25 + 10i + -5x + [-5 * 2i + -2i * 2i + x * 2i] + 2ix * [-5 + -2i + x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0

Reorder the terms:
(25 + 10i + -5x + [-10i + 2ix + -4i2] + 2ix * [-5 + -2i + x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0
(25 + 10i + -5x + [-10i + 2ix + -4i2] + 2ix * [-5 + -2i + x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0
(25 + 10i + -5x + -10i + 2ix + -4i2 + [-5 * 2ix + -2i * 2ix + x * 2ix] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0

Reorder the terms:
(25 + 10i + -5x + -10i + 2ix + -4i2 + [-10ix + 2ix2 + -4i2x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0
(25 + 10i + -5x + -10i + 2ix + -4i2 + [-10ix + 2ix2 + -4i2x] + -4x * [-5 + -2i + x] + x2[-5 + -2i + x]) = 0
(25 + 10i + -5x + -10i + 2ix + -4i2 + -10ix + 2ix2 + -4i2x + [-5 * -4x + -2i * -4x + x * -4x] + x2[-5 + -2i + x]) = 0

Reorder the terms:
(25 + 10i + -5x + -10i + 2ix + -4i2 + -10ix + 2ix2 + -4i2x + [8ix + 20x + -4x2] + x2[-5 + -2i + x]) = 0
(25 + 10i + -5x + -10i + 2ix + -4i2 + -10ix + 2ix2 + -4i2x + [8ix + 20x + -4x2] + x2[-5 + -2i + x]) = 0
(25 + 10i + -5x + -10i + 2ix + -4i2 + -10ix + 2ix2 + -4i2x + 8ix + 20x + -4x2 + [-5 * x2 + -2i * x2 + x * x2]) = 0

Reorder the terms:
(25 + 10i + -5x + -10i + 2ix + -4i2 + -10ix + 2ix2 + -4i2x + 8ix + 20x + -4x2 + [-2ix2 + -5x2 + x3]) = 0
(25 + 10i + -5x + -10i + 2ix + -4i2 + -10ix + 2ix2 + -4i2x + 8ix + 20x + -4x2 + [-2ix2 + -5x2 + x3]) = 0

Reorder the terms:
(25 + 10i + -10i + 2ix + -10ix + 8ix + 2ix2 + -2ix2 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0

Combine like terms: 10i + -10i = 0
(25 + 0 + 2ix + -10ix + 8ix + 2ix2 + -2ix2 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0
(25 + 2ix + -10ix + 8ix + 2ix2 + -2ix2 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0

Combine like terms: 2ix + -10ix = -8ix
(25 + -8ix + 8ix + 2ix2 + -2ix2 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0

Combine like terms: -8ix + 8ix = 0
(25 + 0 + 2ix2 + -2ix2 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0
(25 + 2ix2 + -2ix2 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0

Combine like terms: 2ix2 + -2ix2 = 0
(25 + 0 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0
(25 + -4i2 + -4i2x + -5x + 20x + -4x2 + -5x2 + x3) = 0

Combine like terms: -5x + 20x = 15x
(25 + -4i2 + -4i2x + 15x + -4x2 + -5x2 + x3) = 0

Combine like terms: -4x2 + -5x2 = -9x2
(25 + -4i2 + -4i2x + 15x + -9x2 + x3) = 0

Solving
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = 0

Solving for variable 'i'.

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

Add '-25' to each side of the equation.
25 + -4i2 + -4i2x + 15x + -9x2 + -25 + x3 = 0 + -25

Reorder the terms:
25 + -25 + -4i2 + -4i2x + 15x + -9x2 + x3 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4i2 + -4i2x + 15x + -9x2 + x3 = 0 + -25
-4i2 + -4i2x + 15x + -9x2 + x3 = 0 + -25

Combine like terms: 0 + -25 = -25
-4i2 + -4i2x + 15x + -9x2 + x3 = -25

Add '-15x' to each side of the equation.
-4i2 + -4i2x + 15x + -9x2 + -15x + x3 = -25 + -15x

Reorder the terms:
-4i2 + -4i2x + 15x + -15x + -9x2 + x3 = -25 + -15x

Combine like terms: 15x + -15x = 0
-4i2 + -4i2x + 0 + -9x2 + x3 = -25 + -15x
-4i2 + -4i2x + -9x2 + x3 = -25 + -15x

Add '9x2' to each side of the equation.
-4i2 + -4i2x + -9x2 + 9x2 + x3 = -25 + -15x + 9x2

Combine like terms: -9x2 + 9x2 = 0
-4i2 + -4i2x + 0 + x3 = -25 + -15x + 9x2
-4i2 + -4i2x + x3 = -25 + -15x + 9x2

Add '-1x3' to each side of the equation.
-4i2 + -4i2x + x3 + -1x3 = -25 + -15x + 9x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-4i2 + -4i2x + 0 = -25 + -15x + 9x2 + -1x3
-4i2 + -4i2x = -25 + -15x + 9x2 + -1x3

Reorder the terms:
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = -25 + -15x + 9x2 + -1x3 + 25 + 15x + -9x2 + x3

Reorder the terms:
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = -25 + 25 + -15x + 15x + 9x2 + -9x2 + -1x3 + x3

Combine like terms: -25 + 25 = 0
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = 0 + -15x + 15x + 9x2 + -9x2 + -1x3 + x3
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = -15x + 15x + 9x2 + -9x2 + -1x3 + x3

Combine like terms: -15x + 15x = 0
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = 0 + 9x2 + -9x2 + -1x3 + x3
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = 9x2 + -9x2 + -1x3 + x3

Combine like terms: 9x2 + -9x2 = 0
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = 0 + -1x3 + x3
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
25 + -4i2 + -4i2x + 15x + -9x2 + x3 = 0

The solution to this equation could not be determined.

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