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

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


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

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

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

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

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

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

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

Multiply (-39 + 10x + x2) * (-5 + x)
(-39(-5 + x) + 10x * (-5 + x) + x2(-5 + x))(-4i + x) = 0
((-5 * -39 + x * -39) + 10x * (-5 + x) + x2(-5 + x))(-4i + x) = 0
((195 + -39x) + 10x * (-5 + x) + x2(-5 + x))(-4i + x) = 0
(195 + -39x + (-5 * 10x + x * 10x) + x2(-5 + x))(-4i + x) = 0
(195 + -39x + (-50x + 10x2) + x2(-5 + x))(-4i + x) = 0
(195 + -39x + -50x + 10x2 + (-5 * x2 + x * x2))(-4i + x) = 0
(195 + -39x + -50x + 10x2 + (-5x2 + x3))(-4i + x) = 0

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

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

Multiply (195 + -89x + 5x2 + x3) * (-4i + x)
(195(-4i + x) + -89x * (-4i + x) + 5x2 * (-4i + x) + x3(-4i + x)) = 0
((-4i * 195 + x * 195) + -89x * (-4i + x) + 5x2 * (-4i + x) + x3(-4i + x)) = 0
((-780i + 195x) + -89x * (-4i + x) + 5x2 * (-4i + x) + x3(-4i + x)) = 0
(-780i + 195x + (-4i * -89x + x * -89x) + 5x2 * (-4i + x) + x3(-4i + x)) = 0
(-780i + 195x + (356ix + -89x2) + 5x2 * (-4i + x) + x3(-4i + x)) = 0
(-780i + 195x + 356ix + -89x2 + (-4i * 5x2 + x * 5x2) + x3(-4i + x)) = 0
(-780i + 195x + 356ix + -89x2 + (-20ix2 + 5x3) + x3(-4i + x)) = 0
(-780i + 195x + 356ix + -89x2 + -20ix2 + 5x3 + (-4i * x3 + x * x3)) = 0
(-780i + 195x + 356ix + -89x2 + -20ix2 + 5x3 + (-4ix3 + x4)) = 0

Reorder the terms:
(-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4) = 0
(-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4) = 0

Solving
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = 0

Solving for variable 'i'.

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

Add '-195x' to each side of the equation.
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + -195x + x4 = 0 + -195x

Reorder the terms:
-780i + 356ix + -20ix2 + -4ix3 + 195x + -195x + -89x2 + 5x3 + x4 = 0 + -195x

Combine like terms: 195x + -195x = 0
-780i + 356ix + -20ix2 + -4ix3 + 0 + -89x2 + 5x3 + x4 = 0 + -195x
-780i + 356ix + -20ix2 + -4ix3 + -89x2 + 5x3 + x4 = 0 + -195x
Remove the zero:
-780i + 356ix + -20ix2 + -4ix3 + -89x2 + 5x3 + x4 = -195x

Add '89x2' to each side of the equation.
-780i + 356ix + -20ix2 + -4ix3 + -89x2 + 5x3 + 89x2 + x4 = -195x + 89x2

Reorder the terms:
-780i + 356ix + -20ix2 + -4ix3 + -89x2 + 89x2 + 5x3 + x4 = -195x + 89x2

Combine like terms: -89x2 + 89x2 = 0
-780i + 356ix + -20ix2 + -4ix3 + 0 + 5x3 + x4 = -195x + 89x2
-780i + 356ix + -20ix2 + -4ix3 + 5x3 + x4 = -195x + 89x2

Add '-5x3' to each side of the equation.
-780i + 356ix + -20ix2 + -4ix3 + 5x3 + -5x3 + x4 = -195x + 89x2 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-780i + 356ix + -20ix2 + -4ix3 + 0 + x4 = -195x + 89x2 + -5x3
-780i + 356ix + -20ix2 + -4ix3 + x4 = -195x + 89x2 + -5x3

Add '-1x4' to each side of the equation.
-780i + 356ix + -20ix2 + -4ix3 + x4 + -1x4 = -195x + 89x2 + -5x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-780i + 356ix + -20ix2 + -4ix3 + 0 = -195x + 89x2 + -5x3 + -1x4
-780i + 356ix + -20ix2 + -4ix3 = -195x + 89x2 + -5x3 + -1x4

Reorder the terms:
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = -195x + 195x + 89x2 + -89x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: -195x + 195x = 0
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = 0 + 89x2 + -89x2 + -5x3 + 5x3 + -1x4 + x4
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = 89x2 + -89x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: 89x2 + -89x2 = 0
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = 0 + -5x3 + 5x3 + -1x4 + x4
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = -5x3 + 5x3 + -1x4 + x4

Combine like terms: -5x3 + 5x3 = 0
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = 0 + -1x4 + x4
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-780i + 356ix + -20ix2 + -4ix3 + 195x + -89x2 + 5x3 + x4 = 0

The solution to this equation could not be determined.

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