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

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

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

Remove parenthesis around (3 + -3i)
(x + 3 + -3i)(x + (3 + 3i))(x + 5)(x + 5) = 0

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

Remove parenthesis around (3 + 3i)
(3 + -3i + x)(x + 3 + 3i)(x + 5)(x + 5) = 0

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

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

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

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

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

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

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

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

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

Combine like terms: 3x + 3x = 6x
(9 + -9i² + 6x + x²)(5 + x)(5 + x) = 0

Multiply (9 + -9i² + 6x + x²) * (5 + x)
(9(5 + x) + -9i² * (5 + x) + 6x * (5 + x) + x²(5 + x))(5 + x) = 0
((5 * 9 + x * 9) + -9i² * (5 + x) + 6x * (5 + x) + x²(5 + x))(5 + x) = 0
((45 + 9x) + -9i² * (5 + x) + 6x * (5 + x) + x²(5 + x))(5 + x) = 0
(45 + 9x + (5 * -9i² + x * -9i²) + 6x * (5 + x) + x²(5 + x))(5 + x) = 0
(45 + 9x + (-45i² + -9i²x) + 6x * (5 + x) + x²(5 + x))(5 + x) = 0
(45 + 9x + -45i² + -9i²x + (5 * 6x + x * 6x) + x²(5 + x))(5 + x) = 0
(45 + 9x + -45i² + -9i²x + (30x + 6x²) + x²(5 + x))(5 + x) = 0
(45 + 9x + -45i² + -9i²x + 30x + 6x² + (5 * x² + x * x²))(5 + x) = 0
(45 + 9x + -45i² + -9i²x + 30x + 6x² + (5x² + x³))(5 + x) = 0

Reorder the terms:
(45 + -45i² + -9i²x + 9x + 30x + 6x² + 5x² + x³)(5 + x) = 0

Combine like terms: 9x + 30x = 39x
(45 + -45i² + -9i²x + 39x + 6x² + 5x² + x³)(5 + x) = 0

Combine like terms: 6x² + 5x² = 11x²
(45 + -45i² + -9i²x + 39x + 11x² + x³)(5 + x) = 0

Multiply (45 + -45i² + -9i²x + 39x + 11x² + x³) * (5 + x)
(45(5 + x) + -45i² * (5 + x) + -9i²x * (5 + x) + 39x * (5 + x) + 11x² * (5 + x) + x³(5 + x)) = 0
((5 * 45 + x * 45) + -45i² * (5 + x) + -9i²x * (5 + x) + 39x * (5 + x) + 11x² * (5 + x) + x³(5 + x)) = 0
((225 + 45x) + -45i² * (5 + x) + -9i²x * (5 + x) + 39x * (5 + x) + 11x² * (5 + x) + x³(5 + x)) = 0
(225 + 45x + (5 * -45i² + x * -45i²) + -9i²x * (5 + x) + 39x * (5 + x) + 11x² * (5 + x) + x³(5 + x)) = 0
(225 + 45x + (-225i² + -45i²x) + -9i²x * (5 + x) + 39x * (5 + x) + 11x² * (5 + x) + x³(5 + x)) = 0
(225 + 45x + -225i² + -45i²x + (5 * -9i²x + x * -9i²x) + 39x * (5 + x) + 11x² * (5 + x) + x³(5 + x)) = 0
(225 + 45x + -225i² + -45i²x + (-45i²x + -9i²x²) + 39x * (5 + x) + 11x² * (5 + x) + x³(5 + x)) = 0
(225 + 45x + -225i² + -45i²x + -45i²x + -9i²x² + (5 * 39x + x * 39x) + 11x² * (5 + x) + x³(5 + x)) = 0
(225 + 45x + -225i² + -45i²x + -45i²x + -9i²x² + (195x + 39x²) + 11x² * (5 + x) + x³(5 + x)) = 0
(225 + 45x + -225i² + -45i²x + -45i²x + -9i²x² + 195x + 39x² + (5 * 11x² + x * 11x²) + x³(5 + x)) = 0
(225 + 45x + -225i² + -45i²x + -45i²x + -9i²x² + 195x + 39x² + (55x² + 11x³) + x³(5 + x)) = 0
(225 + 45x + -225i² + -45i²x + -45i²x + -9i²x² + 195x + 39x² + 55x² + 11x³ + (5 * x³ + x * x³)) = 0
(225 + 45x + -225i² + -45i²x + -45i²x + -9i²x² + 195x + 39x² + 55x² + 11x³ + (5x³ + x⁴)) = 0

Reorder the terms:
(225 + -225i² + -45i²x + -45i²x + -9i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴) = 0

Combine like terms: -45i²x + -45i²x = -90i²x
(225 + -225i² + -90i²x + -9i²x² + 45x + 195x + 39x² + 55x² + 11x³ + 5x³ + x⁴) = 0

Combine like terms: 45x + 195x = 240x
(225 + -225i² + -90i²x + -9i²x² + 240x + 39x² + 55x² + 11x³ + 5x³ + x⁴) = 0

Combine like terms: 39x² + 55x² = 94x²
(225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 11x³ + 5x³ + x⁴) = 0

Combine like terms: 11x³ + 5x³ = 16x³
(225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴) = 0

Solving
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-225' to each side of the equation.
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + -225 + x⁴ = 0 + -225

Reorder the terms:
225 + -225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0 + -225
-225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0 + -225

Combine like terms: 0 + -225 = -225
-225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = -225

Add '-240x' to each side of the equation.
-225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + -240x + x⁴ = -225 + -240x

Reorder the terms:
-225i² + -90i²x + -9i²x² + 240x + -240x + 94x² + 16x³ + x⁴ = -225 + -240x

Combine like terms: 240x + -240x = 0
-225i² + -90i²x + -9i²x² + 0 + 94x² + 16x³ + x⁴ = -225 + -240x
-225i² + -90i²x + -9i²x² + 94x² + 16x³ + x⁴ = -225 + -240x

Add '-94x²' to each side of the equation.
-225i² + -90i²x + -9i²x² + 94x² + 16x³ + -94x² + x⁴ = -225 + -240x + -94x²

Reorder the terms:
-225i² + -90i²x + -9i²x² + 94x² + -94x² + 16x³ + x⁴ = -225 + -240x + -94x²

Combine like terms: 94x² + -94x² = 0
-225i² + -90i²x + -9i²x² + 0 + 16x³ + x⁴ = -225 + -240x + -94x²
-225i² + -90i²x + -9i²x² + 16x³ + x⁴ = -225 + -240x + -94x²

Add '-16x³' to each side of the equation.
-225i² + -90i²x + -9i²x² + 16x³ + -16x³ + x⁴ = -225 + -240x + -94x² + -16x³

Combine like terms: 16x³ + -16x³ = 0
-225i² + -90i²x + -9i²x² + 0 + x⁴ = -225 + -240x + -94x² + -16x³
-225i² + -90i²x + -9i²x² + x⁴ = -225 + -240x + -94x² + -16x³

Add '-1x⁴' to each side of the equation.
-225i² + -90i²x + -9i²x² + x⁴ + -1x⁴ = -225 + -240x + -94x² + -16x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-225i² + -90i²x + -9i²x² + 0 = -225 + -240x + -94x² + -16x³ + -1x⁴
-225i² + -90i²x + -9i²x² = -225 + -240x + -94x² + -16x³ + -1x⁴

Reorder the terms:
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = -225 + -240x + -94x² + -16x³ + -1x⁴ + 225 + 240x + 94x² + 16x³ + x⁴

Reorder the terms:
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = -225 + 225 + -240x + 240x + -94x² + 94x² + -16x³ + 16x³ + -1x⁴ + x⁴

Combine like terms: -225 + 225 = 0
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0 + -240x + 240x + -94x² + 94x² + -16x³ + 16x³ + -1x⁴ + x⁴
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = -240x + 240x + -94x² + 94x² + -16x³ + 16x³ + -1x⁴ + x⁴

Combine like terms: -240x + 240x = 0
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0 + -94x² + 94x² + -16x³ + 16x³ + -1x⁴ + x⁴
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = -94x² + 94x² + -16x³ + 16x³ + -1x⁴ + x⁴

Combine like terms: -94x² + 94x² = 0
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0 + -16x³ + 16x³ + -1x⁴ + x⁴
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = -16x³ + 16x³ + -1x⁴ + x⁴

Combine like terms: -16x³ + 16x³ = 0
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0 + -1x⁴ + x⁴
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
225 + -225i² + -90i²x + -9i²x² + 240x + 94x² + 16x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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