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

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


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

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

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

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

Multiply (-5 + -5i + x) * (-5 + 5i + x)
(-5(-5 + 5i + x) + -5i * (-5 + 5i + x) + x(-5 + 5i + x))(1 + x) = 0
((-5 * -5 + 5i * -5 + x * -5) + -5i * (-5 + 5i + x) + x(-5 + 5i + x))(1 + x) = 0
((25 + -25i + -5x) + -5i * (-5 + 5i + x) + x(-5 + 5i + x))(1 + x) = 0
(25 + -25i + -5x + (-5 * -5i + 5i * -5i + x * -5i) + x(-5 + 5i + x))(1 + x) = 0

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

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

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

Combine like terms: -25i + 25i = 0
(25 + 0 + -5ix + 5ix + -25i2 + -5x + -5x + x2)(1 + x) = 0
(25 + -5ix + 5ix + -25i2 + -5x + -5x + x2)(1 + x) = 0

Combine like terms: -5ix + 5ix = 0
(25 + 0 + -25i2 + -5x + -5x + x2)(1 + x) = 0
(25 + -25i2 + -5x + -5x + x2)(1 + x) = 0

Combine like terms: -5x + -5x = -10x
(25 + -25i2 + -10x + x2)(1 + x) = 0

Multiply (25 + -25i2 + -10x + x2) * (1 + x)
(25(1 + x) + -25i2 * (1 + x) + -10x * (1 + x) + x2(1 + x)) = 0
((1 * 25 + x * 25) + -25i2 * (1 + x) + -10x * (1 + x) + x2(1 + x)) = 0
((25 + 25x) + -25i2 * (1 + x) + -10x * (1 + x) + x2(1 + x)) = 0
(25 + 25x + (1 * -25i2 + x * -25i2) + -10x * (1 + x) + x2(1 + x)) = 0
(25 + 25x + (-25i2 + -25i2x) + -10x * (1 + x) + x2(1 + x)) = 0
(25 + 25x + -25i2 + -25i2x + (1 * -10x + x * -10x) + x2(1 + x)) = 0
(25 + 25x + -25i2 + -25i2x + (-10x + -10x2) + x2(1 + x)) = 0
(25 + 25x + -25i2 + -25i2x + -10x + -10x2 + (1 * x2 + x * x2)) = 0
(25 + 25x + -25i2 + -25i2x + -10x + -10x2 + (1x2 + x3)) = 0

Reorder the terms:
(25 + -25i2 + -25i2x + 25x + -10x + -10x2 + 1x2 + x3) = 0

Combine like terms: 25x + -10x = 15x
(25 + -25i2 + -25i2x + 15x + -10x2 + 1x2 + x3) = 0

Combine like terms: -10x2 + 1x2 = -9x2
(25 + -25i2 + -25i2x + 15x + -9x2 + x3) = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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