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

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Solution for (x+4)(x-7-5i)(x-7+5i)=0 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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(x+4)(x-7-5i)(x-7+5i)=0

Simple and best practice solution for (x+4)(x-7-5i)(x-7+5i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (x+4)(x-7-5i)(x-7+5i)=0 equation:

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