(x-2)*(x-2)*(x-3-5i)*(x-3+5i)=0

Simple and best practice solution for (x-2)(x-2)(x-3-5i)*(x-3+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.

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Solution for (x-2)(x-2)(x-3-5i)*(x-3+5i)=0 equation:

Simplifying
(x + -2)(x + -2)(x + -3 + -5i)(x + -3 + 5i) = 0

Reorder the terms:
(-2 + x)(x + -2)(x + -3 + -5i)(x + -3 + 5i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(x + -3 + -5i)(x + -3 + 5i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(-3 + -5i + x)(x + -3 + 5i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(-3 + -5i + x)(-3 + 5i + x) = 0

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x))(-3 + -5i + x)(-3 + 5i + x) = 0
((-2 * -2 + x * -2) + x(-2 + x))(-3 + -5i + x)(-3 + 5i + x) = 0
((4 + -2x) + x(-2 + x))(-3 + -5i + x)(-3 + 5i + x) = 0
(4 + -2x + (-2 * x + x * x))(-3 + -5i + x)(-3 + 5i + x) = 0
(4 + -2x + (-2x + x²))(-3 + -5i + x)(-3 + 5i + x) = 0

Combine like terms: -2x + -2x = -4x
(4 + -4x + x²)(-3 + -5i + x)(-3 + 5i + x) = 0

Multiply (4 + -4x + x²) * (-3 + -5i + x)
(4(-3 + -5i + x) + -4x * (-3 + -5i + x) + x²(-3 + -5i + x))(-3 + 5i + x) = 0
((-3 * 4 + -5i * 4 + x * 4) + -4x * (-3 + -5i + x) + x²(-3 + -5i + x))(-3 + 5i + x) = 0
((-12 + -20i + 4x) + -4x * (-3 + -5i + x) + x²(-3 + -5i + x))(-3 + 5i + x) = 0
(-12 + -20i + 4x + (-3 * -4x + -5i * -4x + x * -4x) + x²(-3 + -5i + x))(-3 + 5i + x) = 0

Reorder the terms:
(-12 + -20i + 4x + (20ix + 12x + -4x²) + x²(-3 + -5i + x))(-3 + 5i + x) = 0
(-12 + -20i + 4x + (20ix + 12x + -4x²) + x²(-3 + -5i + x))(-3 + 5i + x) = 0
(-12 + -20i + 4x + 20ix + 12x + -4x² + (-3 * x² + -5i * x² + x * x²))(-3 + 5i + x) = 0

Reorder the terms:
(-12 + -20i + 4x + 20ix + 12x + -4x² + (-5ix² + -3x² + x³))(-3 + 5i + x) = 0
(-12 + -20i + 4x + 20ix + 12x + -4x² + (-5ix² + -3x² + x³))(-3 + 5i + x) = 0

Reorder the terms:
(-12 + -20i + 20ix + -5ix² + 4x + 12x + -4x² + -3x² + x³)(-3 + 5i + x) = 0

Combine like terms: 4x + 12x = 16x
(-12 + -20i + 20ix + -5ix² + 16x + -4x² + -3x² + x³)(-3 + 5i + x) = 0

Combine like terms: -4x² + -3x² = -7x²
(-12 + -20i + 20ix + -5ix² + 16x + -7x² + x³)(-3 + 5i + x) = 0

Multiply (-12 + -20i + 20ix + -5ix² + 16x + -7x² + x³) * (-3 + 5i + x)
(-12(-3 + 5i + x) + -20i * (-3 + 5i + x) + 20ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
((-3 * -12 + 5i * -12 + x * -12) + -20i * (-3 + 5i + x) + 20ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
((36 + -60i + -12x) + -20i * (-3 + 5i + x) + 20ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + (-3 * -20i + 5i * -20i + x * -20i) + 20ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + (60i + -20ix + -100i²) + 20ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + (60i + -20ix + -100i²) + 20ix * (-3 + 5i + x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + (-3 * 20ix + 5i * 20ix + x * 20ix) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + 60i + -20ix + -100i² + (-60ix + 20ix² + 100i²x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + (-60ix + 20ix² + 100i²x) + -5ix² * (-3 + 5i + x) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + (-3 * -5ix² + 5i * -5ix² + x * -5ix²) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + (15ix² + -5ix³ + -25i²x²) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + (15ix² + -5ix³ + -25i²x²) + 16x * (-3 + 5i + x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + (-3 * 16x + 5i * 16x + x * 16x) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + (80ix + -48x + 16x²) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + (80ix + -48x + 16x²) + -7x² * (-3 + 5i + x) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + 80ix + -48x + 16x² + (-3 * -7x² + 5i * -7x² + x * -7x²) + x³(-3 + 5i + x)) = 0

Reorder the terms:
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + 80ix + -48x + 16x² + (-35ix² + 21x² + -7x³) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + 80ix + -48x + 16x² + (-35ix² + 21x² + -7x³) + x³(-3 + 5i + x)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + 80ix + -48x + 16x² + -35ix² + 21x² + -7x³ + (-3 * x³ + 5i * x³ + x * x³)) = 0

Reorder the terms:
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + 80ix + -48x + 16x² + -35ix² + 21x² + -7x³ + (5ix³ + -3x³ + x⁴)) = 0
(36 + -60i + -12x + 60i + -20ix + -100i² + -60ix + 20ix² + 100i²x + 15ix² + -5ix³ + -25i²x² + 80ix + -48x + 16x² + -35ix² + 21x² + -7x³ + (5ix³ + -3x³ + x⁴)) = 0

Reorder the terms:
(36 + -60i + 60i + -20ix + -60ix + 80ix + 20ix² + 15ix² + -35ix² + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -60i + 60i = 0
(36 + 0 + -20ix + -60ix + 80ix + 20ix² + 15ix² + -35ix² + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(36 + -20ix + -60ix + 80ix + 20ix² + 15ix² + -35ix² + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -20ix + -60ix = -80ix
(36 + -80ix + 80ix + 20ix² + 15ix² + -35ix² + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -80ix + 80ix = 0
(36 + 0 + 20ix² + 15ix² + -35ix² + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(36 + 20ix² + 15ix² + -35ix² + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: 20ix² + 15ix² = 35ix²
(36 + 35ix² + -35ix² + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: 35ix² + -35ix² = 0
(36 + 0 + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(36 + -5ix³ + 5ix³ + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -5ix³ + 5ix³ = 0
(36 + 0 + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(36 + -100i² + 100i²x + -25i²x² + -12x + -48x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -12x + -48x = -60x
(36 + -100i² + 100i²x + -25i²x² + -60x + 16x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: 16x² + 21x² = 37x²
(36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -7x³ + -3x³ = -10x³
(36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴) = 0

Solving
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-36' to each side of the equation.
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + -36 + x⁴ = 0 + -36

Reorder the terms:
36 + -36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0 + -36
-100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0 + -36

Combine like terms: 0 + -36 = -36
-100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = -36

Add '60x' to each side of the equation.
-100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + 60x + x⁴ = -36 + 60x

Reorder the terms:
-100i² + 100i²x + -25i²x² + -60x + 60x + 37x² + -10x³ + x⁴ = -36 + 60x

Combine like terms: -60x + 60x = 0
-100i² + 100i²x + -25i²x² + 0 + 37x² + -10x³ + x⁴ = -36 + 60x
-100i² + 100i²x + -25i²x² + 37x² + -10x³ + x⁴ = -36 + 60x

Add '-37x²' to each side of the equation.
-100i² + 100i²x + -25i²x² + 37x² + -10x³ + -37x² + x⁴ = -36 + 60x + -37x²

Reorder the terms:
-100i² + 100i²x + -25i²x² + 37x² + -37x² + -10x³ + x⁴ = -36 + 60x + -37x²

Combine like terms: 37x² + -37x² = 0
-100i² + 100i²x + -25i²x² + 0 + -10x³ + x⁴ = -36 + 60x + -37x²
-100i² + 100i²x + -25i²x² + -10x³ + x⁴ = -36 + 60x + -37x²

Add '10x³' to each side of the equation.
-100i² + 100i²x + -25i²x² + -10x³ + 10x³ + x⁴ = -36 + 60x + -37x² + 10x³

Combine like terms: -10x³ + 10x³ = 0
-100i² + 100i²x + -25i²x² + 0 + x⁴ = -36 + 60x + -37x² + 10x³
-100i² + 100i²x + -25i²x² + x⁴ = -36 + 60x + -37x² + 10x³

Add '-1x⁴' to each side of the equation.
-100i² + 100i²x + -25i²x² + x⁴ + -1x⁴ = -36 + 60x + -37x² + 10x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-100i² + 100i²x + -25i²x² + 0 = -36 + 60x + -37x² + 10x³ + -1x⁴
-100i² + 100i²x + -25i²x² = -36 + 60x + -37x² + 10x³ + -1x⁴

Reorder the terms:
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = -36 + 60x + -37x² + 10x³ + -1x⁴ + 36 + -60x + 37x² + -10x³ + x⁴

Reorder the terms:
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = -36 + 36 + 60x + -60x + -37x² + 37x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: -36 + 36 = 0
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0 + 60x + -60x + -37x² + 37x² + 10x³ + -10x³ + -1x⁴ + x⁴
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 60x + -60x + -37x² + 37x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 60x + -60x = 0
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0 + -37x² + 37x² + 10x³ + -10x³ + -1x⁴ + x⁴
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = -37x² + 37x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: -37x² + 37x² = 0
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0 + 10x³ + -10x³ + -1x⁴ + x⁴
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 10x³ + -10x³ = 0
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0 + -1x⁴ + x⁴
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
36 + -100i² + 100i²x + -25i²x² + -60x + 37x² + -10x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x-2)*(x-2)*(x-3-5i)*(x-3+5i)=0

Simple and best practice solution for (x-2)*(x-2)*(x-3-5i)*(x-3+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-2)*(x-3-5i)*(x-3+5i)=0 equation:

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(x-2)(x-2)(x-3-5i)*(x-3+5i)=0

Simple and best practice solution for (x-2)(x-2)(x-3-5i)*(x-3+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-2)(x-3-5i)*(x-3+5i)=0 equation: