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

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

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

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

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

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

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

Multiply (-3 + 5i + x) * (-3 + -5i + x)
(-3(-3 + -5i + x) + 5i * (-3 + -5i + x) + x(-3 + -5i + x))(-4 + x)(-4 + x) = 0
((-3 * -3 + -5i * -3 + x * -3) + 5i * (-3 + -5i + x) + x(-3 + -5i + x))(-4 + x)(-4 + x) = 0
((9 + 15i + -3x) + 5i * (-3 + -5i + x) + x(-3 + -5i + x))(-4 + x)(-4 + x) = 0
(9 + 15i + -3x + (-3 * 5i + -5i * 5i + x * 5i) + x(-3 + -5i + x))(-4 + x)(-4 + x) = 0

Reorder the terms:
(9 + 15i + -3x + (-15i + 5ix + -25i²) + x(-3 + -5i + x))(-4 + x)(-4 + x) = 0
(9 + 15i + -3x + (-15i + 5ix + -25i²) + x(-3 + -5i + x))(-4 + x)(-4 + x) = 0
(9 + 15i + -3x + -15i + 5ix + -25i² + (-3 * x + -5i * x + x * x))(-4 + x)(-4 + x) = 0

Reorder the terms:
(9 + 15i + -3x + -15i + 5ix + -25i² + (-5ix + -3x + x²))(-4 + x)(-4 + x) = 0
(9 + 15i + -3x + -15i + 5ix + -25i² + (-5ix + -3x + x²))(-4 + x)(-4 + x) = 0

Reorder the terms:
(9 + 15i + -15i + 5ix + -5ix + -25i² + -3x + -3x + x²)(-4 + x)(-4 + x) = 0

Combine like terms: 15i + -15i = 0
(9 + 0 + 5ix + -5ix + -25i² + -3x + -3x + x²)(-4 + x)(-4 + x) = 0
(9 + 5ix + -5ix + -25i² + -3x + -3x + x²)(-4 + x)(-4 + x) = 0

Combine like terms: 5ix + -5ix = 0
(9 + 0 + -25i² + -3x + -3x + x²)(-4 + x)(-4 + x) = 0
(9 + -25i² + -3x + -3x + x²)(-4 + x)(-4 + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -25i² + -6x + x²)(-4 + x)(-4 + x) = 0

Multiply (9 + -25i² + -6x + x²) * (-4 + x)
(9(-4 + x) + -25i² * (-4 + x) + -6x * (-4 + x) + x²(-4 + x))(-4 + x) = 0
((-4 * 9 + x * 9) + -25i² * (-4 + x) + -6x * (-4 + x) + x²(-4 + x))(-4 + x) = 0
((-36 + 9x) + -25i² * (-4 + x) + -6x * (-4 + x) + x²(-4 + x))(-4 + x) = 0
(-36 + 9x + (-4 * -25i² + x * -25i²) + -6x * (-4 + x) + x²(-4 + x))(-4 + x) = 0
(-36 + 9x + (100i² + -25i²x) + -6x * (-4 + x) + x²(-4 + x))(-4 + x) = 0
(-36 + 9x + 100i² + -25i²x + (-4 * -6x + x * -6x) + x²(-4 + x))(-4 + x) = 0
(-36 + 9x + 100i² + -25i²x + (24x + -6x²) + x²(-4 + x))(-4 + x) = 0
(-36 + 9x + 100i² + -25i²x + 24x + -6x² + (-4 * x² + x * x²))(-4 + x) = 0
(-36 + 9x + 100i² + -25i²x + 24x + -6x² + (-4x² + x³))(-4 + x) = 0

Reorder the terms:
(-36 + 100i² + -25i²x + 9x + 24x + -6x² + -4x² + x³)(-4 + x) = 0

Combine like terms: 9x + 24x = 33x
(-36 + 100i² + -25i²x + 33x + -6x² + -4x² + x³)(-4 + x) = 0

Combine like terms: -6x² + -4x² = -10x²
(-36 + 100i² + -25i²x + 33x + -10x² + x³)(-4 + x) = 0

Multiply (-36 + 100i² + -25i²x + 33x + -10x² + x³) * (-4 + x)
(-36(-4 + x) + 100i² * (-4 + x) + -25i²x * (-4 + x) + 33x * (-4 + x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
((-4 * -36 + x * -36) + 100i² * (-4 + x) + -25i²x * (-4 + x) + 33x * (-4 + x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
((144 + -36x) + 100i² * (-4 + x) + -25i²x * (-4 + x) + 33x * (-4 + x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
(144 + -36x + (-4 * 100i² + x * 100i²) + -25i²x * (-4 + x) + 33x * (-4 + x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
(144 + -36x + (-400i² + 100i²x) + -25i²x * (-4 + x) + 33x * (-4 + x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
(144 + -36x + -400i² + 100i²x + (-4 * -25i²x + x * -25i²x) + 33x * (-4 + x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
(144 + -36x + -400i² + 100i²x + (100i²x + -25i²x²) + 33x * (-4 + x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
(144 + -36x + -400i² + 100i²x + 100i²x + -25i²x² + (-4 * 33x + x * 33x) + -10x² * (-4 + x) + x³(-4 + x)) = 0
(144 + -36x + -400i² + 100i²x + 100i²x + -25i²x² + (-132x + 33x²) + -10x² * (-4 + x) + x³(-4 + x)) = 0
(144 + -36x + -400i² + 100i²x + 100i²x + -25i²x² + -132x + 33x² + (-4 * -10x² + x * -10x²) + x³(-4 + x)) = 0
(144 + -36x + -400i² + 100i²x + 100i²x + -25i²x² + -132x + 33x² + (40x² + -10x³) + x³(-4 + x)) = 0
(144 + -36x + -400i² + 100i²x + 100i²x + -25i²x² + -132x + 33x² + 40x² + -10x³ + (-4 * x³ + x * x³)) = 0
(144 + -36x + -400i² + 100i²x + 100i²x + -25i²x² + -132x + 33x² + 40x² + -10x³ + (-4x³ + x⁴)) = 0

Reorder the terms:
(144 + -400i² + 100i²x + 100i²x + -25i²x² + -36x + -132x + 33x² + 40x² + -10x³ + -4x³ + x⁴) = 0

Combine like terms: 100i²x + 100i²x = 200i²x
(144 + -400i² + 200i²x + -25i²x² + -36x + -132x + 33x² + 40x² + -10x³ + -4x³ + x⁴) = 0

Combine like terms: -36x + -132x = -168x
(144 + -400i² + 200i²x + -25i²x² + -168x + 33x² + 40x² + -10x³ + -4x³ + x⁴) = 0

Combine like terms: 33x² + 40x² = 73x²
(144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -10x³ + -4x³ + x⁴) = 0

Combine like terms: -10x³ + -4x³ = -14x³
(144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴) = 0

Solving
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-144' to each side of the equation.
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + -144 + x⁴ = 0 + -144

Reorder the terms:
144 + -144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -144
-400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -144

Combine like terms: 0 + -144 = -144
-400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = -144

Add '168x' to each side of the equation.
-400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + 168x + x⁴ = -144 + 168x

Reorder the terms:
-400i² + 200i²x + -25i²x² + -168x + 168x + 73x² + -14x³ + x⁴ = -144 + 168x

Combine like terms: -168x + 168x = 0
-400i² + 200i²x + -25i²x² + 0 + 73x² + -14x³ + x⁴ = -144 + 168x
-400i² + 200i²x + -25i²x² + 73x² + -14x³ + x⁴ = -144 + 168x

Add '-73x²' to each side of the equation.
-400i² + 200i²x + -25i²x² + 73x² + -14x³ + -73x² + x⁴ = -144 + 168x + -73x²

Reorder the terms:
-400i² + 200i²x + -25i²x² + 73x² + -73x² + -14x³ + x⁴ = -144 + 168x + -73x²

Combine like terms: 73x² + -73x² = 0
-400i² + 200i²x + -25i²x² + 0 + -14x³ + x⁴ = -144 + 168x + -73x²
-400i² + 200i²x + -25i²x² + -14x³ + x⁴ = -144 + 168x + -73x²

Add '14x³' to each side of the equation.
-400i² + 200i²x + -25i²x² + -14x³ + 14x³ + x⁴ = -144 + 168x + -73x² + 14x³

Combine like terms: -14x³ + 14x³ = 0
-400i² + 200i²x + -25i²x² + 0 + x⁴ = -144 + 168x + -73x² + 14x³
-400i² + 200i²x + -25i²x² + x⁴ = -144 + 168x + -73x² + 14x³

Add '-1x⁴' to each side of the equation.
-400i² + 200i²x + -25i²x² + x⁴ + -1x⁴ = -144 + 168x + -73x² + 14x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-400i² + 200i²x + -25i²x² + 0 = -144 + 168x + -73x² + 14x³ + -1x⁴
-400i² + 200i²x + -25i²x² = -144 + 168x + -73x² + 14x³ + -1x⁴

Reorder the terms:
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = -144 + 168x + -73x² + 14x³ + -1x⁴ + 144 + -168x + 73x² + -14x³ + x⁴

Reorder the terms:
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = -144 + 144 + 168x + -168x + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: -144 + 144 = 0
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + 168x + -168x + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 168x + -168x + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: 168x + -168x = 0
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: -73x² + 73x² = 0
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + 14x³ + -14x³ + -1x⁴ + x⁴
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: 14x³ + -14x³ = 0
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -1x⁴ + x⁴
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
144 + -400i² + 200i²x + -25i²x² + -168x + 73x² + -14x³ + x⁴ = 0

The solution to this equation could not be determined.

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

Simple and best practice solution for (x-3+5i)(x-3-5i)(x-4)(x-4)=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-3+5i)(x-3-5i)(x-4)(x-4)=0 equation:

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