(x+2)(x-9-5i)(x-9+5i)=0

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Solution for (x+2)(x-9-5i)(x-9+5i)=0 equation:

Simplifying
(x + 2)(x + -9 + -5i)(x + -9 + 5i) = 0

Reorder the terms:
(2 + x)(x + -9 + -5i)(x + -9 + 5i) = 0

Reorder the terms:
(2 + x)(-9 + -5i + x)(x + -9 + 5i) = 0

Reorder the terms:
(2 + x)(-9 + -5i + x)(-9 + 5i + x) = 0

Multiply (2 + x) * (-9 + -5i + x)
(2(-9 + -5i + x) + x(-9 + -5i + x))(-9 + 5i + x) = 0
((-9 * 2 + -5i * 2 + x * 2) + x(-9 + -5i + x))(-9 + 5i + x) = 0
((-18 + -10i + 2x) + x(-9 + -5i + x))(-9 + 5i + x) = 0
(-18 + -10i + 2x + (-9 * x + -5i * x + x * x))(-9 + 5i + x) = 0

Reorder the terms:
(-18 + -10i + 2x + (-5ix + -9x + x²))(-9 + 5i + x) = 0
(-18 + -10i + 2x + (-5ix + -9x + x²))(-9 + 5i + x) = 0

Reorder the terms:
(-18 + -10i + -5ix + 2x + -9x + x²)(-9 + 5i + x) = 0

Combine like terms: 2x + -9x = -7x
(-18 + -10i + -5ix + -7x + x²)(-9 + 5i + x) = 0

Multiply (-18 + -10i + -5ix + -7x + x²) * (-9 + 5i + x)
(-18(-9 + 5i + x) + -10i * (-9 + 5i + x) + -5ix * (-9 + 5i + x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0
((-9 * -18 + 5i * -18 + x * -18) + -10i * (-9 + 5i + x) + -5ix * (-9 + 5i + x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0
((162 + -90i + -18x) + -10i * (-9 + 5i + x) + -5ix * (-9 + 5i + x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0
(162 + -90i + -18x + (-9 * -10i + 5i * -10i + x * -10i) + -5ix * (-9 + 5i + x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0

Reorder the terms:
(162 + -90i + -18x + (90i + -10ix + -50i²) + -5ix * (-9 + 5i + x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0
(162 + -90i + -18x + (90i + -10ix + -50i²) + -5ix * (-9 + 5i + x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0
(162 + -90i + -18x + 90i + -10ix + -50i² + (-9 * -5ix + 5i * -5ix + x * -5ix) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0

Reorder the terms:
(162 + -90i + -18x + 90i + -10ix + -50i² + (45ix + -5ix² + -25i²x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0
(162 + -90i + -18x + 90i + -10ix + -50i² + (45ix + -5ix² + -25i²x) + -7x * (-9 + 5i + x) + x²(-9 + 5i + x)) = 0
(162 + -90i + -18x + 90i + -10ix + -50i² + 45ix + -5ix² + -25i²x + (-9 * -7x + 5i * -7x + x * -7x) + x²(-9 + 5i + x)) = 0

Reorder the terms:
(162 + -90i + -18x + 90i + -10ix + -50i² + 45ix + -5ix² + -25i²x + (-35ix + 63x + -7x²) + x²(-9 + 5i + x)) = 0
(162 + -90i + -18x + 90i + -10ix + -50i² + 45ix + -5ix² + -25i²x + (-35ix + 63x + -7x²) + x²(-9 + 5i + x)) = 0
(162 + -90i + -18x + 90i + -10ix + -50i² + 45ix + -5ix² + -25i²x + -35ix + 63x + -7x² + (-9 * x² + 5i * x² + x * x²)) = 0

Reorder the terms:
(162 + -90i + -18x + 90i + -10ix + -50i² + 45ix + -5ix² + -25i²x + -35ix + 63x + -7x² + (5ix² + -9x² + x³)) = 0
(162 + -90i + -18x + 90i + -10ix + -50i² + 45ix + -5ix² + -25i²x + -35ix + 63x + -7x² + (5ix² + -9x² + x³)) = 0

Reorder the terms:
(162 + -90i + 90i + -10ix + 45ix + -35ix + -5ix² + 5ix² + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0

Combine like terms: -90i + 90i = 0
(162 + 0 + -10ix + 45ix + -35ix + -5ix² + 5ix² + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0
(162 + -10ix + 45ix + -35ix + -5ix² + 5ix² + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0

Combine like terms: -10ix + 45ix = 35ix
(162 + 35ix + -35ix + -5ix² + 5ix² + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0

Combine like terms: 35ix + -35ix = 0
(162 + 0 + -5ix² + 5ix² + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0
(162 + -5ix² + 5ix² + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0

Combine like terms: -5ix² + 5ix² = 0
(162 + 0 + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0
(162 + -50i² + -25i²x + -18x + 63x + -7x² + -9x² + x³) = 0

Combine like terms: -18x + 63x = 45x
(162 + -50i² + -25i²x + 45x + -7x² + -9x² + x³) = 0

Combine like terms: -7x² + -9x² = -16x²
(162 + -50i² + -25i²x + 45x + -16x² + x³) = 0

Solving
162 + -50i² + -25i²x + 45x + -16x² + x³ = 0

Solving for variable 'i'.

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

Add '-162' to each side of the equation.
162 + -50i² + -25i²x + 45x + -16x² + -162 + x³ = 0 + -162

Reorder the terms:
162 + -162 + -50i² + -25i²x + 45x + -16x² + x³ = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -50i² + -25i²x + 45x + -16x² + x³ = 0 + -162
-50i² + -25i²x + 45x + -16x² + x³ = 0 + -162

Combine like terms: 0 + -162 = -162
-50i² + -25i²x + 45x + -16x² + x³ = -162

Add '-45x' to each side of the equation.
-50i² + -25i²x + 45x + -16x² + -45x + x³ = -162 + -45x

Reorder the terms:
-50i² + -25i²x + 45x + -45x + -16x² + x³ = -162 + -45x

Combine like terms: 45x + -45x = 0
-50i² + -25i²x + 0 + -16x² + x³ = -162 + -45x
-50i² + -25i²x + -16x² + x³ = -162 + -45x

Add '16x²' to each side of the equation.
-50i² + -25i²x + -16x² + 16x² + x³ = -162 + -45x + 16x²

Combine like terms: -16x² + 16x² = 0
-50i² + -25i²x + 0 + x³ = -162 + -45x + 16x²
-50i² + -25i²x + x³ = -162 + -45x + 16x²

Add '-1x³' to each side of the equation.
-50i² + -25i²x + x³ + -1x³ = -162 + -45x + 16x² + -1x³

Combine like terms: x³ + -1x³ = 0
-50i² + -25i²x + 0 = -162 + -45x + 16x² + -1x³
-50i² + -25i²x = -162 + -45x + 16x² + -1x³

Reorder the terms:
162 + -50i² + -25i²x + 45x + -16x² + x³ = -162 + -45x + 16x² + -1x³ + 162 + 45x + -16x² + x³

Reorder the terms:
162 + -50i² + -25i²x + 45x + -16x² + x³ = -162 + 162 + -45x + 45x + 16x² + -16x² + -1x³ + x³

Combine like terms: -162 + 162 = 0
162 + -50i² + -25i²x + 45x + -16x² + x³ = 0 + -45x + 45x + 16x² + -16x² + -1x³ + x³
162 + -50i² + -25i²x + 45x + -16x² + x³ = -45x + 45x + 16x² + -16x² + -1x³ + x³

Combine like terms: -45x + 45x = 0
162 + -50i² + -25i²x + 45x + -16x² + x³ = 0 + 16x² + -16x² + -1x³ + x³
162 + -50i² + -25i²x + 45x + -16x² + x³ = 16x² + -16x² + -1x³ + x³

Combine like terms: 16x² + -16x² = 0
162 + -50i² + -25i²x + 45x + -16x² + x³ = 0 + -1x³ + x³
162 + -50i² + -25i²x + 45x + -16x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
162 + -50i² + -25i²x + 45x + -16x² + x³ = 0

The solution to this equation could not be determined.

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(x+2)(x-9-5i)(x-9+5i)=0

Simple and best practice solution for (x+2)(x-9-5i)(x-9+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+2)(x-9-5i)(x-9+5i)=0 equation:

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