(x-(3-4i))(x-(3+4i))(x+2)(x+2)=0

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Solution for (x-(3-4i))(x-(3+4i))(x+2)(x+2)=0 equation:

Simplifying
(x + -1(3 + -4i))(x + -1(3 + 4i))(x + 2)(x + 2) = 0
(x + (3 * -1 + -4i * -1))(x + -1(3 + 4i))(x + 2)(x + 2) = 0
(x + (-3 + 4i))(x + -1(3 + 4i))(x + 2)(x + 2) = 0

Reorder the terms:
(-3 + 4i + x)(x + -1(3 + 4i))(x + 2)(x + 2) = 0
(-3 + 4i + x)(x + (3 * -1 + 4i * -1))(x + 2)(x + 2) = 0
(-3 + 4i + x)(x + (-3 + -4i))(x + 2)(x + 2) = 0

Reorder the terms:
(-3 + 4i + x)(-3 + -4i + x)(x + 2)(x + 2) = 0

Reorder the terms:
(-3 + 4i + x)(-3 + -4i + x)(2 + x)(x + 2) = 0

Reorder the terms:
(-3 + 4i + x)(-3 + -4i + x)(2 + x)(2 + x) = 0

Multiply (-3 + 4i + x) * (-3 + -4i + x)
(-3(-3 + -4i + x) + 4i * (-3 + -4i + x) + x(-3 + -4i + x))(2 + x)(2 + x) = 0
((-3 * -3 + -4i * -3 + x * -3) + 4i * (-3 + -4i + x) + x(-3 + -4i + x))(2 + x)(2 + x) = 0
((9 + 12i + -3x) + 4i * (-3 + -4i + x) + x(-3 + -4i + x))(2 + x)(2 + x) = 0
(9 + 12i + -3x + (-3 * 4i + -4i * 4i + x * 4i) + x(-3 + -4i + x))(2 + x)(2 + x) = 0

Reorder the terms:
(9 + 12i + -3x + (-12i + 4ix + -16i²) + x(-3 + -4i + x))(2 + x)(2 + x) = 0
(9 + 12i + -3x + (-12i + 4ix + -16i²) + x(-3 + -4i + x))(2 + x)(2 + x) = 0
(9 + 12i + -3x + -12i + 4ix + -16i² + (-3 * x + -4i * x + x * x))(2 + x)(2 + x) = 0

Reorder the terms:
(9 + 12i + -3x + -12i + 4ix + -16i² + (-4ix + -3x + x²))(2 + x)(2 + x) = 0
(9 + 12i + -3x + -12i + 4ix + -16i² + (-4ix + -3x + x²))(2 + x)(2 + x) = 0

Reorder the terms:
(9 + 12i + -12i + 4ix + -4ix + -16i² + -3x + -3x + x²)(2 + x)(2 + x) = 0

Combine like terms: 12i + -12i = 0
(9 + 0 + 4ix + -4ix + -16i² + -3x + -3x + x²)(2 + x)(2 + x) = 0
(9 + 4ix + -4ix + -16i² + -3x + -3x + x²)(2 + x)(2 + x) = 0

Combine like terms: 4ix + -4ix = 0
(9 + 0 + -16i² + -3x + -3x + x²)(2 + x)(2 + x) = 0
(9 + -16i² + -3x + -3x + x²)(2 + x)(2 + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -16i² + -6x + x²)(2 + x)(2 + x) = 0

Multiply (9 + -16i² + -6x + x²) * (2 + x)
(9(2 + x) + -16i² * (2 + x) + -6x * (2 + x) + x²(2 + x))(2 + x) = 0
((2 * 9 + x * 9) + -16i² * (2 + x) + -6x * (2 + x) + x²(2 + x))(2 + x) = 0
((18 + 9x) + -16i² * (2 + x) + -6x * (2 + x) + x²(2 + x))(2 + x) = 0
(18 + 9x + (2 * -16i² + x * -16i²) + -6x * (2 + x) + x²(2 + x))(2 + x) = 0
(18 + 9x + (-32i² + -16i²x) + -6x * (2 + x) + x²(2 + x))(2 + x) = 0
(18 + 9x + -32i² + -16i²x + (2 * -6x + x * -6x) + x²(2 + x))(2 + x) = 0
(18 + 9x + -32i² + -16i²x + (-12x + -6x²) + x²(2 + x))(2 + x) = 0
(18 + 9x + -32i² + -16i²x + -12x + -6x² + (2 * x² + x * x²))(2 + x) = 0
(18 + 9x + -32i² + -16i²x + -12x + -6x² + (2x² + x³))(2 + x) = 0

Reorder the terms:
(18 + -32i² + -16i²x + 9x + -12x + -6x² + 2x² + x³)(2 + x) = 0

Combine like terms: 9x + -12x = -3x
(18 + -32i² + -16i²x + -3x + -6x² + 2x² + x³)(2 + x) = 0

Combine like terms: -6x² + 2x² = -4x²
(18 + -32i² + -16i²x + -3x + -4x² + x³)(2 + x) = 0

Multiply (18 + -32i² + -16i²x + -3x + -4x² + x³) * (2 + x)
(18(2 + x) + -32i² * (2 + x) + -16i²x * (2 + x) + -3x * (2 + x) + -4x² * (2 + x) + x³(2 + x)) = 0
((2 * 18 + x * 18) + -32i² * (2 + x) + -16i²x * (2 + x) + -3x * (2 + x) + -4x² * (2 + x) + x³(2 + x)) = 0
((36 + 18x) + -32i² * (2 + x) + -16i²x * (2 + x) + -3x * (2 + x) + -4x² * (2 + x) + x³(2 + x)) = 0
(36 + 18x + (2 * -32i² + x * -32i²) + -16i²x * (2 + x) + -3x * (2 + x) + -4x² * (2 + x) + x³(2 + x)) = 0
(36 + 18x + (-64i² + -32i²x) + -16i²x * (2 + x) + -3x * (2 + x) + -4x² * (2 + x) + x³(2 + x)) = 0
(36 + 18x + -64i² + -32i²x + (2 * -16i²x + x * -16i²x) + -3x * (2 + x) + -4x² * (2 + x) + x³(2 + x)) = 0
(36 + 18x + -64i² + -32i²x + (-32i²x + -16i²x²) + -3x * (2 + x) + -4x² * (2 + x) + x³(2 + x)) = 0
(36 + 18x + -64i² + -32i²x + -32i²x + -16i²x² + (2 * -3x + x * -3x) + -4x² * (2 + x) + x³(2 + x)) = 0
(36 + 18x + -64i² + -32i²x + -32i²x + -16i²x² + (-6x + -3x²) + -4x² * (2 + x) + x³(2 + x)) = 0
(36 + 18x + -64i² + -32i²x + -32i²x + -16i²x² + -6x + -3x² + (2 * -4x² + x * -4x²) + x³(2 + x)) = 0
(36 + 18x + -64i² + -32i²x + -32i²x + -16i²x² + -6x + -3x² + (-8x² + -4x³) + x³(2 + x)) = 0
(36 + 18x + -64i² + -32i²x + -32i²x + -16i²x² + -6x + -3x² + -8x² + -4x³ + (2 * x³ + x * x³)) = 0
(36 + 18x + -64i² + -32i²x + -32i²x + -16i²x² + -6x + -3x² + -8x² + -4x³ + (2x³ + x⁴)) = 0

Reorder the terms:
(36 + -64i² + -32i²x + -32i²x + -16i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: -32i²x + -32i²x = -64i²x
(36 + -64i² + -64i²x + -16i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: 18x + -6x = 12x
(36 + -64i² + -64i²x + -16i²x² + 12x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: -3x² + -8x² = -11x²
(36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: -4x³ + 2x³ = -2x³
(36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴) = 0

Solving
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + 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 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + -36 + x⁴ = 0 + -36

Reorder the terms:
36 + -36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -36
-64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -36

Combine like terms: 0 + -36 = -36
-64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = -36

Add '-12x' to each side of the equation.
-64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + -12x + x⁴ = -36 + -12x

Reorder the terms:
-64i² + -64i²x + -16i²x² + 12x + -12x + -11x² + -2x³ + x⁴ = -36 + -12x

Combine like terms: 12x + -12x = 0
-64i² + -64i²x + -16i²x² + 0 + -11x² + -2x³ + x⁴ = -36 + -12x
-64i² + -64i²x + -16i²x² + -11x² + -2x³ + x⁴ = -36 + -12x

Add '11x²' to each side of the equation.
-64i² + -64i²x + -16i²x² + -11x² + -2x³ + 11x² + x⁴ = -36 + -12x + 11x²

Reorder the terms:
-64i² + -64i²x + -16i²x² + -11x² + 11x² + -2x³ + x⁴ = -36 + -12x + 11x²

Combine like terms: -11x² + 11x² = 0
-64i² + -64i²x + -16i²x² + 0 + -2x³ + x⁴ = -36 + -12x + 11x²
-64i² + -64i²x + -16i²x² + -2x³ + x⁴ = -36 + -12x + 11x²

Add '2x³' to each side of the equation.
-64i² + -64i²x + -16i²x² + -2x³ + 2x³ + x⁴ = -36 + -12x + 11x² + 2x³

Combine like terms: -2x³ + 2x³ = 0
-64i² + -64i²x + -16i²x² + 0 + x⁴ = -36 + -12x + 11x² + 2x³
-64i² + -64i²x + -16i²x² + x⁴ = -36 + -12x + 11x² + 2x³

Add '-1x⁴' to each side of the equation.
-64i² + -64i²x + -16i²x² + x⁴ + -1x⁴ = -36 + -12x + 11x² + 2x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-64i² + -64i²x + -16i²x² + 0 = -36 + -12x + 11x² + 2x³ + -1x⁴
-64i² + -64i²x + -16i²x² = -36 + -12x + 11x² + 2x³ + -1x⁴

Reorder the terms:
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = -36 + -12x + 11x² + 2x³ + -1x⁴ + 36 + 12x + -11x² + -2x³ + x⁴

Reorder the terms:
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = -36 + 36 + -12x + 12x + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -36 + 36 = 0
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -12x + 12x + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = -12x + 12x + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -12x + 12x = 0
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 11x² + -11x² = 0
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + 2x³ + -2x³ + -1x⁴ + x⁴
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 2x³ + -2x³ = 0
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -1x⁴ + x⁴
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
36 + -64i² + -64i²x + -16i²x² + 12x + -11x² + -2x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x-(3-4i))(x-(3+4i))(x+2)(x+2)=0

Simple and best practice solution for (x-(3-4i))(x-(3+4i))(x+2)(x+2)=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-(3-4i))(x-(3+4i))(x+2)(x+2)=0 equation:

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