(x+1)((x-3)+5i)((x-3)-5i)=0

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Solution for (x+1)((x-3)+5i)((x-3)-5i)=0 equation: 


Simplifying
(x + 1)((x + -3) + 5i)((x + -3) + -5i) = 0

Reorder the terms:
(1 + x)((x + -3) + 5i)((x + -3) + -5i) = 0

Reorder the terms:
(1 + x)((-3 + x) + 5i)((x + -3) + -5i) = 0

Remove parenthesis around (-3 + x)
(1 + x)(-3 + x + 5i)((x + -3) + -5i) = 0

Reorder the terms:
(1 + x)(-3 + 5i + x)((x + -3) + -5i) = 0

Reorder the terms:
(1 + x)(-3 + 5i + x)((-3 + x) + -5i) = 0

Remove parenthesis around (-3 + x)
(1 + x)(-3 + 5i + x)(-3 + x + -5i) = 0

Reorder the terms:
(1 + x)(-3 + 5i + x)(-3 + -5i + x) = 0

Multiply (1 + x) * (-3 + 5i + x)
(1(-3 + 5i + x) + x(-3 + 5i + x))(-3 + -5i + x) = 0
((-3 * 1 + 5i * 1 + x * 1) + x(-3 + 5i + x))(-3 + -5i + x) = 0
((-3 + 5i + 1x) + x(-3 + 5i + x))(-3 + -5i + x) = 0
(-3 + 5i + 1x + (-3 * x + 5i * x + x * x))(-3 + -5i + x) = 0

Reorder the terms:
(-3 + 5i + 1x + (5ix + -3x + x2))(-3 + -5i + x) = 0
(-3 + 5i + 1x + (5ix + -3x + x2))(-3 + -5i + x) = 0

Reorder the terms:
(-3 + 5i + 5ix + 1x + -3x + x2)(-3 + -5i + x) = 0

Combine like terms: 1x + -3x = -2x
(-3 + 5i + 5ix + -2x + x2)(-3 + -5i + x) = 0

Multiply (-3 + 5i + 5ix + -2x + x2) * (-3 + -5i + x)
(-3(-3 + -5i + x) + 5i * (-3 + -5i + x) + 5ix * (-3 + -5i + x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
((-3 * -3 + -5i * -3 + x * -3) + 5i * (-3 + -5i + x) + 5ix * (-3 + -5i + x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
((9 + 15i + -3x) + 5i * (-3 + -5i + x) + 5ix * (-3 + -5i + x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(9 + 15i + -3x + (-3 * 5i + -5i * 5i + x * 5i) + 5ix * (-3 + -5i + x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0

Reorder the terms:
(9 + 15i + -3x + (-15i + 5ix + -25i2) + 5ix * (-3 + -5i + x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(9 + 15i + -3x + (-15i + 5ix + -25i2) + 5ix * (-3 + -5i + x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(9 + 15i + -3x + -15i + 5ix + -25i2 + (-3 * 5ix + -5i * 5ix + x * 5ix) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0

Reorder the terms:
(9 + 15i + -3x + -15i + 5ix + -25i2 + (-15ix + 5ix2 + -25i2x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(9 + 15i + -3x + -15i + 5ix + -25i2 + (-15ix + 5ix2 + -25i2x) + -2x * (-3 + -5i + x) + x2(-3 + -5i + x)) = 0
(9 + 15i + -3x + -15i + 5ix + -25i2 + -15ix + 5ix2 + -25i2x + (-3 * -2x + -5i * -2x + x * -2x) + x2(-3 + -5i + x)) = 0

Reorder the terms:
(9 + 15i + -3x + -15i + 5ix + -25i2 + -15ix + 5ix2 + -25i2x + (10ix + 6x + -2x2) + x2(-3 + -5i + x)) = 0
(9 + 15i + -3x + -15i + 5ix + -25i2 + -15ix + 5ix2 + -25i2x + (10ix + 6x + -2x2) + x2(-3 + -5i + x)) = 0
(9 + 15i + -3x + -15i + 5ix + -25i2 + -15ix + 5ix2 + -25i2x + 10ix + 6x + -2x2 + (-3 * x2 + -5i * x2 + x * x2)) = 0

Reorder the terms:
(9 + 15i + -3x + -15i + 5ix + -25i2 + -15ix + 5ix2 + -25i2x + 10ix + 6x + -2x2 + (-5ix2 + -3x2 + x3)) = 0
(9 + 15i + -3x + -15i + 5ix + -25i2 + -15ix + 5ix2 + -25i2x + 10ix + 6x + -2x2 + (-5ix2 + -3x2 + x3)) = 0

Reorder the terms:
(9 + 15i + -15i + 5ix + -15ix + 10ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0

Combine like terms: 15i + -15i = 0
(9 + 0 + 5ix + -15ix + 10ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0
(9 + 5ix + -15ix + 10ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0

Combine like terms: 5ix + -15ix = -10ix
(9 + -10ix + 10ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0

Combine like terms: -10ix + 10ix = 0
(9 + 0 + 5ix2 + -5ix2 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0
(9 + 5ix2 + -5ix2 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0

Combine like terms: 5ix2 + -5ix2 = 0
(9 + 0 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0
(9 + -25i2 + -25i2x + -3x + 6x + -2x2 + -3x2 + x3) = 0

Combine like terms: -3x + 6x = 3x
(9 + -25i2 + -25i2x + 3x + -2x2 + -3x2 + x3) = 0

Combine like terms: -2x2 + -3x2 = -5x2
(9 + -25i2 + -25i2x + 3x + -5x2 + x3) = 0

Solving
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -25i2 + -25i2x + 3x + -5x2 + -9 + x3 = 0 + -9

Reorder the terms:
9 + -9 + -25i2 + -25i2x + 3x + -5x2 + x3 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -25i2 + -25i2x + 3x + -5x2 + x3 = 0 + -9
-25i2 + -25i2x + 3x + -5x2 + x3 = 0 + -9

Combine like terms: 0 + -9 = -9
-25i2 + -25i2x + 3x + -5x2 + x3 = -9

Add '-3x' to each side of the equation.
-25i2 + -25i2x + 3x + -5x2 + -3x + x3 = -9 + -3x

Reorder the terms:
-25i2 + -25i2x + 3x + -3x + -5x2 + x3 = -9 + -3x

Combine like terms: 3x + -3x = 0
-25i2 + -25i2x + 0 + -5x2 + x3 = -9 + -3x
-25i2 + -25i2x + -5x2 + x3 = -9 + -3x

Add '5x2' to each side of the equation.
-25i2 + -25i2x + -5x2 + 5x2 + x3 = -9 + -3x + 5x2

Combine like terms: -5x2 + 5x2 = 0
-25i2 + -25i2x + 0 + x3 = -9 + -3x + 5x2
-25i2 + -25i2x + x3 = -9 + -3x + 5x2

Add '-1x3' to each side of the equation.
-25i2 + -25i2x + x3 + -1x3 = -9 + -3x + 5x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-25i2 + -25i2x + 0 = -9 + -3x + 5x2 + -1x3
-25i2 + -25i2x = -9 + -3x + 5x2 + -1x3

Reorder the terms:
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = -9 + -3x + 5x2 + -1x3 + 9 + 3x + -5x2 + x3

Reorder the terms:
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = -9 + 9 + -3x + 3x + 5x2 + -5x2 + -1x3 + x3

Combine like terms: -9 + 9 = 0
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = 0 + -3x + 3x + 5x2 + -5x2 + -1x3 + x3
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = -3x + 3x + 5x2 + -5x2 + -1x3 + x3

Combine like terms: -3x + 3x = 0
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = 0 + 5x2 + -5x2 + -1x3 + x3
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3

Combine like terms: 5x2 + -5x2 = 0
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = 0 + -1x3 + x3
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
9 + -25i2 + -25i2x + 3x + -5x2 + x3 = 0

The solution to this equation could not be determined.

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