(x-3)(x+13)(x-5-4i)(x-5+4i)=

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Solution for (x-3)(x+13)(x-5-4i)(x-5+4i)= equation:


Simplifying
(x + -3)(x + 13)(x + -5 + -4i)(x + -5 + 4i) = 0

Reorder the terms:
(-3 + x)(x + 13)(x + -5 + -4i)(x + -5 + 4i) = 0

Reorder the terms:
(-3 + x)(13 + x)(x + -5 + -4i)(x + -5 + 4i) = 0

Reorder the terms:
(-3 + x)(13 + x)(-5 + -4i + x)(x + -5 + 4i) = 0

Reorder the terms:
(-3 + x)(13 + x)(-5 + -4i + x)(-5 + 4i + x) = 0

Multiply (-3 + x) * (13 + x)
(-3(13 + x) + x(13 + x))(-5 + -4i + x)(-5 + 4i + x) = 0
((13 * -3 + x * -3) + x(13 + x))(-5 + -4i + x)(-5 + 4i + x) = 0
((-39 + -3x) + x(13 + x))(-5 + -4i + x)(-5 + 4i + x) = 0
(-39 + -3x + (13 * x + x * x))(-5 + -4i + x)(-5 + 4i + x) = 0
(-39 + -3x + (13x + x2))(-5 + -4i + x)(-5 + 4i + x) = 0

Combine like terms: -3x + 13x = 10x
(-39 + 10x + x2)(-5 + -4i + x)(-5 + 4i + x) = 0

Multiply (-39 + 10x + x2) * (-5 + -4i + x)
(-39(-5 + -4i + x) + 10x * (-5 + -4i + x) + x2(-5 + -4i + x))(-5 + 4i + x) = 0
((-5 * -39 + -4i * -39 + x * -39) + 10x * (-5 + -4i + x) + x2(-5 + -4i + x))(-5 + 4i + x) = 0
((195 + 156i + -39x) + 10x * (-5 + -4i + x) + x2(-5 + -4i + x))(-5 + 4i + x) = 0
(195 + 156i + -39x + (-5 * 10x + -4i * 10x + x * 10x) + x2(-5 + -4i + x))(-5 + 4i + x) = 0

Reorder the terms:
(195 + 156i + -39x + (-40ix + -50x + 10x2) + x2(-5 + -4i + x))(-5 + 4i + x) = 0
(195 + 156i + -39x + (-40ix + -50x + 10x2) + x2(-5 + -4i + x))(-5 + 4i + x) = 0
(195 + 156i + -39x + -40ix + -50x + 10x2 + (-5 * x2 + -4i * x2 + x * x2))(-5 + 4i + x) = 0

Reorder the terms:
(195 + 156i + -39x + -40ix + -50x + 10x2 + (-4ix2 + -5x2 + x3))(-5 + 4i + x) = 0
(195 + 156i + -39x + -40ix + -50x + 10x2 + (-4ix2 + -5x2 + x3))(-5 + 4i + x) = 0

Reorder the terms:
(195 + 156i + -40ix + -4ix2 + -39x + -50x + 10x2 + -5x2 + x3)(-5 + 4i + x) = 0

Combine like terms: -39x + -50x = -89x
(195 + 156i + -40ix + -4ix2 + -89x + 10x2 + -5x2 + x3)(-5 + 4i + x) = 0

Combine like terms: 10x2 + -5x2 = 5x2
(195 + 156i + -40ix + -4ix2 + -89x + 5x2 + x3)(-5 + 4i + x) = 0

Multiply (195 + 156i + -40ix + -4ix2 + -89x + 5x2 + x3) * (-5 + 4i + x)
(195(-5 + 4i + x) + 156i * (-5 + 4i + x) + -40ix * (-5 + 4i + x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
((-5 * 195 + 4i * 195 + x * 195) + 156i * (-5 + 4i + x) + -40ix * (-5 + 4i + x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
((-975 + 780i + 195x) + 156i * (-5 + 4i + x) + -40ix * (-5 + 4i + x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + (-5 * 156i + 4i * 156i + x * 156i) + -40ix * (-5 + 4i + x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0

Reorder the terms:
(-975 + 780i + 195x + (-780i + 156ix + 624i2) + -40ix * (-5 + 4i + x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + (-780i + 156ix + 624i2) + -40ix * (-5 + 4i + x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + (-5 * -40ix + 4i * -40ix + x * -40ix) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0

Reorder the terms:
(-975 + 780i + 195x + -780i + 156ix + 624i2 + (200ix + -40ix2 + -160i2x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + (200ix + -40ix2 + -160i2x) + -4ix2 * (-5 + 4i + x) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + (-5 * -4ix2 + 4i * -4ix2 + x * -4ix2) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0

Reorder the terms:
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + (20ix2 + -4ix3 + -16i2x2) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + (20ix2 + -4ix3 + -16i2x2) + -89x * (-5 + 4i + x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + (-5 * -89x + 4i * -89x + x * -89x) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0

Reorder the terms:
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + (-356ix + 445x + -89x2) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + (-356ix + 445x + -89x2) + 5x2 * (-5 + 4i + x) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + -356ix + 445x + -89x2 + (-5 * 5x2 + 4i * 5x2 + x * 5x2) + x3(-5 + 4i + x)) = 0

Reorder the terms:
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + -356ix + 445x + -89x2 + (20ix2 + -25x2 + 5x3) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + -356ix + 445x + -89x2 + (20ix2 + -25x2 + 5x3) + x3(-5 + 4i + x)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + -356ix + 445x + -89x2 + 20ix2 + -25x2 + 5x3 + (-5 * x3 + 4i * x3 + x * x3)) = 0

Reorder the terms:
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + -356ix + 445x + -89x2 + 20ix2 + -25x2 + 5x3 + (4ix3 + -5x3 + x4)) = 0
(-975 + 780i + 195x + -780i + 156ix + 624i2 + 200ix + -40ix2 + -160i2x + 20ix2 + -4ix3 + -16i2x2 + -356ix + 445x + -89x2 + 20ix2 + -25x2 + 5x3 + (4ix3 + -5x3 + x4)) = 0

Reorder the terms:
(-975 + 780i + -780i + 156ix + 200ix + -356ix + -40ix2 + 20ix2 + 20ix2 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: 780i + -780i = 0
(-975 + 0 + 156ix + 200ix + -356ix + -40ix2 + 20ix2 + 20ix2 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0
(-975 + 156ix + 200ix + -356ix + -40ix2 + 20ix2 + 20ix2 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: 156ix + 200ix = 356ix
(-975 + 356ix + -356ix + -40ix2 + 20ix2 + 20ix2 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: 356ix + -356ix = 0
(-975 + 0 + -40ix2 + 20ix2 + 20ix2 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0
(-975 + -40ix2 + 20ix2 + 20ix2 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: -40ix2 + 20ix2 = -20ix2
(-975 + -20ix2 + 20ix2 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: -20ix2 + 20ix2 = 0
(-975 + 0 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0
(-975 + -4ix3 + 4ix3 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: -4ix3 + 4ix3 = 0
(-975 + 0 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0
(-975 + 624i2 + -160i2x + -16i2x2 + 195x + 445x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: 195x + 445x = 640x
(-975 + 624i2 + -160i2x + -16i2x2 + 640x + -89x2 + -25x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: -89x2 + -25x2 = -114x2
(-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + 5x3 + -5x3 + x4) = 0

Combine like terms: 5x3 + -5x3 = 0
(-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + 0 + x4) = 0
(-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4) = 0

Solving
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0

Solving for variable 'i'.

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

Add '975' to each side of the equation.
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + 975 + x4 = 0 + 975

Reorder the terms:
-975 + 975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0 + 975

Combine like terms: -975 + 975 = 0
0 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0 + 975
624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0 + 975

Combine like terms: 0 + 975 = 975
624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 975

Add '-640x' to each side of the equation.
624i2 + -160i2x + -16i2x2 + 640x + -114x2 + -640x + x4 = 975 + -640x

Reorder the terms:
624i2 + -160i2x + -16i2x2 + 640x + -640x + -114x2 + x4 = 975 + -640x

Combine like terms: 640x + -640x = 0
624i2 + -160i2x + -16i2x2 + 0 + -114x2 + x4 = 975 + -640x
624i2 + -160i2x + -16i2x2 + -114x2 + x4 = 975 + -640x

Add '114x2' to each side of the equation.
624i2 + -160i2x + -16i2x2 + -114x2 + 114x2 + x4 = 975 + -640x + 114x2

Combine like terms: -114x2 + 114x2 = 0
624i2 + -160i2x + -16i2x2 + 0 + x4 = 975 + -640x + 114x2
624i2 + -160i2x + -16i2x2 + x4 = 975 + -640x + 114x2

Add '-1x4' to each side of the equation.
624i2 + -160i2x + -16i2x2 + x4 + -1x4 = 975 + -640x + 114x2 + -1x4

Combine like terms: x4 + -1x4 = 0
624i2 + -160i2x + -16i2x2 + 0 = 975 + -640x + 114x2 + -1x4
624i2 + -160i2x + -16i2x2 = 975 + -640x + 114x2 + -1x4

Reorder the terms:
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 975 + -640x + 114x2 + -1x4 + -975 + 640x + -114x2 + x4

Reorder the terms:
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 975 + -975 + -640x + 640x + 114x2 + -114x2 + -1x4 + x4

Combine like terms: 975 + -975 = 0
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0 + -640x + 640x + 114x2 + -114x2 + -1x4 + x4
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = -640x + 640x + 114x2 + -114x2 + -1x4 + x4

Combine like terms: -640x + 640x = 0
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0 + 114x2 + -114x2 + -1x4 + x4
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 114x2 + -114x2 + -1x4 + x4

Combine like terms: 114x2 + -114x2 = 0
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0 + -1x4 + x4
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-975 + 624i2 + -160i2x + -16i2x2 + 640x + -114x2 + x4 = 0

The solution to this equation could not be determined.

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