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

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Solution for (x-3)(x+13)*(x-5+4i)=0 equation: 


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

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

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

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

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

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

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

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

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

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

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

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

Solving
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = 0

Solving for variable 'i'.

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

Add '-195' to each side of the equation.
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + -195 + x3 = 0 + -195

Reorder the terms:
195 + -195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = 0 + -195

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

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

Add '89x' to each side of the equation.
-156i + 40ix + 4ix2 + -89x + 5x2 + 89x + x3 = -195 + 89x

Reorder the terms:
-156i + 40ix + 4ix2 + -89x + 89x + 5x2 + x3 = -195 + 89x

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

Add '-5x2' to each side of the equation.
-156i + 40ix + 4ix2 + 5x2 + -5x2 + x3 = -195 + 89x + -5x2

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

Add '-1x3' to each side of the equation.
-156i + 40ix + 4ix2 + x3 + -1x3 = -195 + 89x + -5x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-156i + 40ix + 4ix2 + 0 = -195 + 89x + -5x2 + -1x3
-156i + 40ix + 4ix2 = -195 + 89x + -5x2 + -1x3

Reorder the terms:
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = -195 + 89x + -5x2 + -1x3 + 195 + -89x + 5x2 + x3

Reorder the terms:
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = -195 + 195 + 89x + -89x + -5x2 + 5x2 + -1x3 + x3

Combine like terms: -195 + 195 = 0
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = 0 + 89x + -89x + -5x2 + 5x2 + -1x3 + x3
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = 89x + -89x + -5x2 + 5x2 + -1x3 + x3

Combine like terms: 89x + -89x = 0
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = 0 + -5x2 + 5x2 + -1x3 + x3
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = -5x2 + 5x2 + -1x3 + x3

Combine like terms: -5x2 + 5x2 = 0
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = 0 + -1x3 + x3
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
195 + -156i + 40ix + 4ix2 + -89x + 5x2 + x3 = 0

The solution to this equation could not be determined.

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