(x+4)(x-7-5i)(x-7+5i)=

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Solution for (x+4)(x-7-5i)(x-7+5i)= equation:


Simplifying
(x + 4)(x + -7 + -5i)(x + -7 + 5i) = 0

Reorder the terms:
(4 + x)(x + -7 + -5i)(x + -7 + 5i) = 0

Reorder the terms:
(4 + x)(-7 + -5i + x)(x + -7 + 5i) = 0

Reorder the terms:
(4 + x)(-7 + -5i + x)(-7 + 5i + x) = 0

Multiply (4 + x) * (-7 + -5i + x)
(4(-7 + -5i + x) + x(-7 + -5i + x))(-7 + 5i + x) = 0
((-7 * 4 + -5i * 4 + x * 4) + x(-7 + -5i + x))(-7 + 5i + x) = 0
((-28 + -20i + 4x) + x(-7 + -5i + x))(-7 + 5i + x) = 0
(-28 + -20i + 4x + (-7 * x + -5i * x + x * x))(-7 + 5i + x) = 0

Reorder the terms:
(-28 + -20i + 4x + (-5ix + -7x + x2))(-7 + 5i + x) = 0
(-28 + -20i + 4x + (-5ix + -7x + x2))(-7 + 5i + x) = 0

Reorder the terms:
(-28 + -20i + -5ix + 4x + -7x + x2)(-7 + 5i + x) = 0

Combine like terms: 4x + -7x = -3x
(-28 + -20i + -5ix + -3x + x2)(-7 + 5i + x) = 0

Multiply (-28 + -20i + -5ix + -3x + x2) * (-7 + 5i + x)
(-28(-7 + 5i + x) + -20i * (-7 + 5i + x) + -5ix * (-7 + 5i + x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0
((-7 * -28 + 5i * -28 + x * -28) + -20i * (-7 + 5i + x) + -5ix * (-7 + 5i + x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0
((196 + -140i + -28x) + -20i * (-7 + 5i + x) + -5ix * (-7 + 5i + x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0
(196 + -140i + -28x + (-7 * -20i + 5i * -20i + x * -20i) + -5ix * (-7 + 5i + x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0

Reorder the terms:
(196 + -140i + -28x + (140i + -20ix + -100i2) + -5ix * (-7 + 5i + x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0
(196 + -140i + -28x + (140i + -20ix + -100i2) + -5ix * (-7 + 5i + x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0
(196 + -140i + -28x + 140i + -20ix + -100i2 + (-7 * -5ix + 5i * -5ix + x * -5ix) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0

Reorder the terms:
(196 + -140i + -28x + 140i + -20ix + -100i2 + (35ix + -5ix2 + -25i2x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0
(196 + -140i + -28x + 140i + -20ix + -100i2 + (35ix + -5ix2 + -25i2x) + -3x * (-7 + 5i + x) + x2(-7 + 5i + x)) = 0
(196 + -140i + -28x + 140i + -20ix + -100i2 + 35ix + -5ix2 + -25i2x + (-7 * -3x + 5i * -3x + x * -3x) + x2(-7 + 5i + x)) = 0

Reorder the terms:
(196 + -140i + -28x + 140i + -20ix + -100i2 + 35ix + -5ix2 + -25i2x + (-15ix + 21x + -3x2) + x2(-7 + 5i + x)) = 0
(196 + -140i + -28x + 140i + -20ix + -100i2 + 35ix + -5ix2 + -25i2x + (-15ix + 21x + -3x2) + x2(-7 + 5i + x)) = 0
(196 + -140i + -28x + 140i + -20ix + -100i2 + 35ix + -5ix2 + -25i2x + -15ix + 21x + -3x2 + (-7 * x2 + 5i * x2 + x * x2)) = 0

Reorder the terms:
(196 + -140i + -28x + 140i + -20ix + -100i2 + 35ix + -5ix2 + -25i2x + -15ix + 21x + -3x2 + (5ix2 + -7x2 + x3)) = 0
(196 + -140i + -28x + 140i + -20ix + -100i2 + 35ix + -5ix2 + -25i2x + -15ix + 21x + -3x2 + (5ix2 + -7x2 + x3)) = 0

Reorder the terms:
(196 + -140i + 140i + -20ix + 35ix + -15ix + -5ix2 + 5ix2 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0

Combine like terms: -140i + 140i = 0
(196 + 0 + -20ix + 35ix + -15ix + -5ix2 + 5ix2 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0
(196 + -20ix + 35ix + -15ix + -5ix2 + 5ix2 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0

Combine like terms: -20ix + 35ix = 15ix
(196 + 15ix + -15ix + -5ix2 + 5ix2 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0

Combine like terms: 15ix + -15ix = 0
(196 + 0 + -5ix2 + 5ix2 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0
(196 + -5ix2 + 5ix2 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0

Combine like terms: -5ix2 + 5ix2 = 0
(196 + 0 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0
(196 + -100i2 + -25i2x + -28x + 21x + -3x2 + -7x2 + x3) = 0

Combine like terms: -28x + 21x = -7x
(196 + -100i2 + -25i2x + -7x + -3x2 + -7x2 + x3) = 0

Combine like terms: -3x2 + -7x2 = -10x2
(196 + -100i2 + -25i2x + -7x + -10x2 + x3) = 0

Solving
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 0

Solving for variable 'i'.

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

Add '-196' to each side of the equation.
196 + -100i2 + -25i2x + -7x + -10x2 + -196 + x3 = 0 + -196

Reorder the terms:
196 + -196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -100i2 + -25i2x + -7x + -10x2 + x3 = 0 + -196
-100i2 + -25i2x + -7x + -10x2 + x3 = 0 + -196

Combine like terms: 0 + -196 = -196
-100i2 + -25i2x + -7x + -10x2 + x3 = -196

Add '7x' to each side of the equation.
-100i2 + -25i2x + -7x + -10x2 + 7x + x3 = -196 + 7x

Reorder the terms:
-100i2 + -25i2x + -7x + 7x + -10x2 + x3 = -196 + 7x

Combine like terms: -7x + 7x = 0
-100i2 + -25i2x + 0 + -10x2 + x3 = -196 + 7x
-100i2 + -25i2x + -10x2 + x3 = -196 + 7x

Add '10x2' to each side of the equation.
-100i2 + -25i2x + -10x2 + 10x2 + x3 = -196 + 7x + 10x2

Combine like terms: -10x2 + 10x2 = 0
-100i2 + -25i2x + 0 + x3 = -196 + 7x + 10x2
-100i2 + -25i2x + x3 = -196 + 7x + 10x2

Add '-1x3' to each side of the equation.
-100i2 + -25i2x + x3 + -1x3 = -196 + 7x + 10x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-100i2 + -25i2x + 0 = -196 + 7x + 10x2 + -1x3
-100i2 + -25i2x = -196 + 7x + 10x2 + -1x3

Reorder the terms:
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = -196 + 7x + 10x2 + -1x3 + 196 + -7x + -10x2 + x3

Reorder the terms:
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = -196 + 196 + 7x + -7x + 10x2 + -10x2 + -1x3 + x3

Combine like terms: -196 + 196 = 0
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 0 + 7x + -7x + 10x2 + -10x2 + -1x3 + x3
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 7x + -7x + 10x2 + -10x2 + -1x3 + x3

Combine like terms: 7x + -7x = 0
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 0 + 10x2 + -10x2 + -1x3 + x3
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 10x2 + -10x2 + -1x3 + x3

Combine like terms: 10x2 + -10x2 = 0
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 0 + -1x3 + x3
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
196 + -100i2 + -25i2x + -7x + -10x2 + x3 = 0

The solution to this equation could not be determined.

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