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

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

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

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

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

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

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

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x))(2 + -5i + x)(2 + 5i + x) = 0
((-3 * -3 + x * -3) + x(-3 + x))(2 + -5i + x)(2 + 5i + x) = 0
((9 + -3x) + x(-3 + x))(2 + -5i + x)(2 + 5i + x) = 0
(9 + -3x + (-3 * x + x * x))(2 + -5i + x)(2 + 5i + x) = 0
(9 + -3x + (-3x + x²))(2 + -5i + x)(2 + 5i + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -6x + x²)(2 + -5i + x)(2 + 5i + x) = 0

Multiply (9 + -6x + x²) * (2 + -5i + x)
(9(2 + -5i + x) + -6x * (2 + -5i + x) + x²(2 + -5i + x))(2 + 5i + x) = 0
((2 * 9 + -5i * 9 + x * 9) + -6x * (2 + -5i + x) + x²(2 + -5i + x))(2 + 5i + x) = 0
((18 + -45i + 9x) + -6x * (2 + -5i + x) + x²(2 + -5i + x))(2 + 5i + x) = 0
(18 + -45i + 9x + (2 * -6x + -5i * -6x + x * -6x) + x²(2 + -5i + x))(2 + 5i + x) = 0

Reorder the terms:
(18 + -45i + 9x + (30ix + -12x + -6x²) + x²(2 + -5i + x))(2 + 5i + x) = 0
(18 + -45i + 9x + (30ix + -12x + -6x²) + x²(2 + -5i + x))(2 + 5i + x) = 0
(18 + -45i + 9x + 30ix + -12x + -6x² + (2 * x² + -5i * x² + x * x²))(2 + 5i + x) = 0

Reorder the terms:
(18 + -45i + 9x + 30ix + -12x + -6x² + (-5ix² + 2x² + x³))(2 + 5i + x) = 0
(18 + -45i + 9x + 30ix + -12x + -6x² + (-5ix² + 2x² + x³))(2 + 5i + x) = 0

Reorder the terms:
(18 + -45i + 30ix + -5ix² + 9x + -12x + -6x² + 2x² + x³)(2 + 5i + x) = 0

Combine like terms: 9x + -12x = -3x
(18 + -45i + 30ix + -5ix² + -3x + -6x² + 2x² + x³)(2 + 5i + x) = 0

Combine like terms: -6x² + 2x² = -4x²
(18 + -45i + 30ix + -5ix² + -3x + -4x² + x³)(2 + 5i + x) = 0

Multiply (18 + -45i + 30ix + -5ix² + -3x + -4x² + x³) * (2 + 5i + x)
(18(2 + 5i + x) + -45i * (2 + 5i + x) + 30ix * (2 + 5i + x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
((2 * 18 + 5i * 18 + x * 18) + -45i * (2 + 5i + x) + 30ix * (2 + 5i + x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
((36 + 90i + 18x) + -45i * (2 + 5i + x) + 30ix * (2 + 5i + x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + (2 * -45i + 5i * -45i + x * -45i) + 30ix * (2 + 5i + x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0

Reorder the terms:
(36 + 90i + 18x + (-90i + -45ix + -225i²) + 30ix * (2 + 5i + x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + (-90i + -45ix + -225i²) + 30ix * (2 + 5i + x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + (2 * 30ix + 5i * 30ix + x * 30ix) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0

Reorder the terms:
(36 + 90i + 18x + -90i + -45ix + -225i² + (60ix + 30ix² + 150i²x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + (60ix + 30ix² + 150i²x) + -5ix² * (2 + 5i + x) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + (2 * -5ix² + 5i * -5ix² + x * -5ix²) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0

Reorder the terms:
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + (-10ix² + -5ix³ + -25i²x²) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + (-10ix² + -5ix³ + -25i²x²) + -3x * (2 + 5i + x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + (2 * -3x + 5i * -3x + x * -3x) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0

Reorder the terms:
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + (-15ix + -6x + -3x²) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + (-15ix + -6x + -3x²) + -4x² * (2 + 5i + x) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + -15ix + -6x + -3x² + (2 * -4x² + 5i * -4x² + x * -4x²) + x³(2 + 5i + x)) = 0

Reorder the terms:
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + -15ix + -6x + -3x² + (-20ix² + -8x² + -4x³) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + -15ix + -6x + -3x² + (-20ix² + -8x² + -4x³) + x³(2 + 5i + x)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + -15ix + -6x + -3x² + -20ix² + -8x² + -4x³ + (2 * x³ + 5i * x³ + x * x³)) = 0

Reorder the terms:
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + -15ix + -6x + -3x² + -20ix² + -8x² + -4x³ + (5ix³ + 2x³ + x⁴)) = 0
(36 + 90i + 18x + -90i + -45ix + -225i² + 60ix + 30ix² + 150i²x + -10ix² + -5ix³ + -25i²x² + -15ix + -6x + -3x² + -20ix² + -8x² + -4x³ + (5ix³ + 2x³ + x⁴)) = 0

Reorder the terms:
(36 + 90i + -90i + -45ix + 60ix + -15ix + 30ix² + -10ix² + -20ix² + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: 90i + -90i = 0
(36 + 0 + -45ix + 60ix + -15ix + 30ix² + -10ix² + -20ix² + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0
(36 + -45ix + 60ix + -15ix + 30ix² + -10ix² + -20ix² + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: -45ix + 60ix = 15ix
(36 + 15ix + -15ix + 30ix² + -10ix² + -20ix² + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: 15ix + -15ix = 0
(36 + 0 + 30ix² + -10ix² + -20ix² + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0
(36 + 30ix² + -10ix² + -20ix² + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: 30ix² + -10ix² = 20ix²
(36 + 20ix² + -20ix² + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: 20ix² + -20ix² = 0
(36 + 0 + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0
(36 + -5ix³ + 5ix³ + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: -5ix³ + 5ix³ = 0
(36 + 0 + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0
(36 + -225i² + 150i²x + -25i²x² + 18x + -6x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: 18x + -6x = 12x
(36 + -225i² + 150i²x + -25i²x² + 12x + -3x² + -8x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: -3x² + -8x² = -11x²
(36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -4x³ + 2x³ + x⁴) = 0

Combine like terms: -4x³ + 2x³ = -2x³
(36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴) = 0

Solving
36 + -225i² + 150i²x + -25i²x² + 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 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + -36 + x⁴ = 0 + -36

Reorder the terms:
36 + -36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -36
-225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -36

Combine like terms: 0 + -36 = -36
-225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = -36

Add '-12x' to each side of the equation.
-225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + -12x + x⁴ = -36 + -12x

Reorder the terms:
-225i² + 150i²x + -25i²x² + 12x + -12x + -11x² + -2x³ + x⁴ = -36 + -12x

Combine like terms: 12x + -12x = 0
-225i² + 150i²x + -25i²x² + 0 + -11x² + -2x³ + x⁴ = -36 + -12x
-225i² + 150i²x + -25i²x² + -11x² + -2x³ + x⁴ = -36 + -12x

Add '11x²' to each side of the equation.
-225i² + 150i²x + -25i²x² + -11x² + -2x³ + 11x² + x⁴ = -36 + -12x + 11x²

Reorder the terms:
-225i² + 150i²x + -25i²x² + -11x² + 11x² + -2x³ + x⁴ = -36 + -12x + 11x²

Combine like terms: -11x² + 11x² = 0
-225i² + 150i²x + -25i²x² + 0 + -2x³ + x⁴ = -36 + -12x + 11x²
-225i² + 150i²x + -25i²x² + -2x³ + x⁴ = -36 + -12x + 11x²

Add '2x³' to each side of the equation.
-225i² + 150i²x + -25i²x² + -2x³ + 2x³ + x⁴ = -36 + -12x + 11x² + 2x³

Combine like terms: -2x³ + 2x³ = 0
-225i² + 150i²x + -25i²x² + 0 + x⁴ = -36 + -12x + 11x² + 2x³
-225i² + 150i²x + -25i²x² + x⁴ = -36 + -12x + 11x² + 2x³

Add '-1x⁴' to each side of the equation.
-225i² + 150i²x + -25i²x² + x⁴ + -1x⁴ = -36 + -12x + 11x² + 2x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-225i² + 150i²x + -25i²x² + 0 = -36 + -12x + 11x² + 2x³ + -1x⁴
-225i² + 150i²x + -25i²x² = -36 + -12x + 11x² + 2x³ + -1x⁴

Reorder the terms:
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = -36 + -12x + 11x² + 2x³ + -1x⁴ + 36 + 12x + -11x² + -2x³ + x⁴

Reorder the terms:
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = -36 + 36 + -12x + 12x + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -36 + 36 = 0
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -12x + 12x + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = -12x + 12x + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -12x + 12x = 0
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 11x² + -11x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 11x² + -11x² = 0
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + 2x³ + -2x³ + -1x⁴ + x⁴
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 2x³ + -2x³ = 0
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0 + -1x⁴ + x⁴
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
36 + -225i² + 150i²x + -25i²x² + 12x + -11x² + -2x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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