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

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


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

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

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

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

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

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

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

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

Multiply (-2 + -5i + -5ix + -1x + x2) * (-2 + 5i + x)
(-2(-2 + 5i + x) + -5i * (-2 + 5i + x) + -5ix * (-2 + 5i + x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0
((-2 * -2 + 5i * -2 + x * -2) + -5i * (-2 + 5i + x) + -5ix * (-2 + 5i + x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0
((4 + -10i + -2x) + -5i * (-2 + 5i + x) + -5ix * (-2 + 5i + x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0
(4 + -10i + -2x + (-2 * -5i + 5i * -5i + x * -5i) + -5ix * (-2 + 5i + x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0

Reorder the terms:
(4 + -10i + -2x + (10i + -5ix + -25i2) + -5ix * (-2 + 5i + x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0
(4 + -10i + -2x + (10i + -5ix + -25i2) + -5ix * (-2 + 5i + x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i2 + (-2 * -5ix + 5i * -5ix + x * -5ix) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i2 + (10ix + -5ix2 + -25i2x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i2 + (10ix + -5ix2 + -25i2x) + -1x * (-2 + 5i + x) + x2(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i2 + 10ix + -5ix2 + -25i2x + (-2 * -1x + 5i * -1x + x * -1x) + x2(-2 + 5i + x)) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i2 + 10ix + -5ix2 + -25i2x + (-5ix + 2x + -1x2) + x2(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i2 + 10ix + -5ix2 + -25i2x + (-5ix + 2x + -1x2) + x2(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i2 + 10ix + -5ix2 + -25i2x + -5ix + 2x + -1x2 + (-2 * x2 + 5i * x2 + x * x2)) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i2 + 10ix + -5ix2 + -25i2x + -5ix + 2x + -1x2 + (5ix2 + -2x2 + x3)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i2 + 10ix + -5ix2 + -25i2x + -5ix + 2x + -1x2 + (5ix2 + -2x2 + x3)) = 0

Reorder the terms:
(4 + -10i + 10i + -5ix + 10ix + -5ix + -5ix2 + 5ix2 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0

Combine like terms: -10i + 10i = 0
(4 + 0 + -5ix + 10ix + -5ix + -5ix2 + 5ix2 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0
(4 + -5ix + 10ix + -5ix + -5ix2 + 5ix2 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0

Combine like terms: -5ix + 10ix = 5ix
(4 + 5ix + -5ix + -5ix2 + 5ix2 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0

Combine like terms: 5ix + -5ix = 0
(4 + 0 + -5ix2 + 5ix2 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0
(4 + -5ix2 + 5ix2 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0

Combine like terms: -5ix2 + 5ix2 = 0
(4 + 0 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0
(4 + -25i2 + -25i2x + -2x + 2x + -1x2 + -2x2 + x3) = 0

Combine like terms: -2x + 2x = 0
(4 + -25i2 + -25i2x + 0 + -1x2 + -2x2 + x3) = 0
(4 + -25i2 + -25i2x + -1x2 + -2x2 + x3) = 0

Combine like terms: -1x2 + -2x2 = -3x2
(4 + -25i2 + -25i2x + -3x2 + x3) = 0

Solving
4 + -25i2 + -25i2x + -3x2 + x3 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -25i2 + -25i2x + -3x2 + -4 + x3 = 0 + -4

Reorder the terms:
4 + -4 + -25i2 + -25i2x + -3x2 + x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25i2 + -25i2x + -3x2 + x3 = 0 + -4
-25i2 + -25i2x + -3x2 + x3 = 0 + -4

Combine like terms: 0 + -4 = -4
-25i2 + -25i2x + -3x2 + x3 = -4

Add '3x2' to each side of the equation.
-25i2 + -25i2x + -3x2 + 3x2 + x3 = -4 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-25i2 + -25i2x + 0 + x3 = -4 + 3x2
-25i2 + -25i2x + x3 = -4 + 3x2

Add '-1x3' to each side of the equation.
-25i2 + -25i2x + x3 + -1x3 = -4 + 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-25i2 + -25i2x + 0 = -4 + 3x2 + -1x3
-25i2 + -25i2x = -4 + 3x2 + -1x3

Reorder the terms:
4 + -25i2 + -25i2x + -3x2 + x3 = -4 + 3x2 + -1x3 + 4 + -3x2 + x3

Reorder the terms:
4 + -25i2 + -25i2x + -3x2 + x3 = -4 + 4 + 3x2 + -3x2 + -1x3 + x3

Combine like terms: -4 + 4 = 0
4 + -25i2 + -25i2x + -3x2 + x3 = 0 + 3x2 + -3x2 + -1x3 + x3
4 + -25i2 + -25i2x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
4 + -25i2 + -25i2x + -3x2 + x3 = 0 + -1x3 + x3
4 + -25i2 + -25i2x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
4 + -25i2 + -25i2x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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