(x-(-3+5i))(x-(-3-5i))(x+1)(x+1)=0

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Solution for (x-(-3+5i))(x-(-3-5i))(x+1)(x+1)=0 equation:

Simplifying
(x + -1(-3 + 5i))(x + -1(-3 + -5i))(x + 1)(x + 1) = 0
(x + (-3 * -1 + 5i * -1))(x + -1(-3 + -5i))(x + 1)(x + 1) = 0
(x + (3 + -5i))(x + -1(-3 + -5i))(x + 1)(x + 1) = 0

Reorder the terms:
(3 + -5i + x)(x + -1(-3 + -5i))(x + 1)(x + 1) = 0
(3 + -5i + x)(x + (-3 * -1 + -5i * -1))(x + 1)(x + 1) = 0
(3 + -5i + x)(x + (3 + 5i))(x + 1)(x + 1) = 0

Reorder the terms:
(3 + -5i + x)(3 + 5i + x)(x + 1)(x + 1) = 0

Reorder the terms:
(3 + -5i + x)(3 + 5i + x)(1 + x)(x + 1) = 0

Reorder the terms:
(3 + -5i + x)(3 + 5i + x)(1 + x)(1 + x) = 0

Multiply (3 + -5i + x) * (3 + 5i + x)
(3(3 + 5i + x) + -5i * (3 + 5i + x) + x(3 + 5i + x))(1 + x)(1 + x) = 0
((3 * 3 + 5i * 3 + x * 3) + -5i * (3 + 5i + x) + x(3 + 5i + x))(1 + x)(1 + x) = 0
((9 + 15i + 3x) + -5i * (3 + 5i + x) + x(3 + 5i + x))(1 + x)(1 + x) = 0
(9 + 15i + 3x + (3 * -5i + 5i * -5i + x * -5i) + x(3 + 5i + x))(1 + x)(1 + x) = 0

Reorder the terms:
(9 + 15i + 3x + (-15i + -5ix + -25i²) + x(3 + 5i + x))(1 + x)(1 + x) = 0
(9 + 15i + 3x + (-15i + -5ix + -25i²) + x(3 + 5i + x))(1 + x)(1 + x) = 0
(9 + 15i + 3x + -15i + -5ix + -25i² + (3 * x + 5i * x + x * x))(1 + x)(1 + x) = 0

Reorder the terms:
(9 + 15i + 3x + -15i + -5ix + -25i² + (5ix + 3x + x²))(1 + x)(1 + x) = 0
(9 + 15i + 3x + -15i + -5ix + -25i² + (5ix + 3x + x²))(1 + x)(1 + x) = 0

Reorder the terms:
(9 + 15i + -15i + -5ix + 5ix + -25i² + 3x + 3x + x²)(1 + x)(1 + x) = 0

Combine like terms: 15i + -15i = 0
(9 + 0 + -5ix + 5ix + -25i² + 3x + 3x + x²)(1 + x)(1 + x) = 0
(9 + -5ix + 5ix + -25i² + 3x + 3x + x²)(1 + x)(1 + x) = 0

Combine like terms: -5ix + 5ix = 0
(9 + 0 + -25i² + 3x + 3x + x²)(1 + x)(1 + x) = 0
(9 + -25i² + 3x + 3x + x²)(1 + x)(1 + x) = 0

Combine like terms: 3x + 3x = 6x
(9 + -25i² + 6x + x²)(1 + x)(1 + x) = 0

Multiply (9 + -25i² + 6x + x²) * (1 + x)
(9(1 + x) + -25i² * (1 + x) + 6x * (1 + x) + x²(1 + x))(1 + x) = 0
((1 * 9 + x * 9) + -25i² * (1 + x) + 6x * (1 + x) + x²(1 + x))(1 + x) = 0
((9 + 9x) + -25i² * (1 + x) + 6x * (1 + x) + x²(1 + x))(1 + x) = 0
(9 + 9x + (1 * -25i² + x * -25i²) + 6x * (1 + x) + x²(1 + x))(1 + x) = 0
(9 + 9x + (-25i² + -25i²x) + 6x * (1 + x) + x²(1 + x))(1 + x) = 0
(9 + 9x + -25i² + -25i²x + (1 * 6x + x * 6x) + x²(1 + x))(1 + x) = 0
(9 + 9x + -25i² + -25i²x + (6x + 6x²) + x²(1 + x))(1 + x) = 0
(9 + 9x + -25i² + -25i²x + 6x + 6x² + (1 * x² + x * x²))(1 + x) = 0
(9 + 9x + -25i² + -25i²x + 6x + 6x² + (1x² + x³))(1 + x) = 0

Reorder the terms:
(9 + -25i² + -25i²x + 9x + 6x + 6x² + 1x² + x³)(1 + x) = 0

Combine like terms: 9x + 6x = 15x
(9 + -25i² + -25i²x + 15x + 6x² + 1x² + x³)(1 + x) = 0

Combine like terms: 6x² + 1x² = 7x²
(9 + -25i² + -25i²x + 15x + 7x² + x³)(1 + x) = 0

Multiply (9 + -25i² + -25i²x + 15x + 7x² + x³) * (1 + x)
(9(1 + x) + -25i² * (1 + x) + -25i²x * (1 + x) + 15x * (1 + x) + 7x² * (1 + x) + x³(1 + x)) = 0
((1 * 9 + x * 9) + -25i² * (1 + x) + -25i²x * (1 + x) + 15x * (1 + x) + 7x² * (1 + x) + x³(1 + x)) = 0
((9 + 9x) + -25i² * (1 + x) + -25i²x * (1 + x) + 15x * (1 + x) + 7x² * (1 + x) + x³(1 + x)) = 0
(9 + 9x + (1 * -25i² + x * -25i²) + -25i²x * (1 + x) + 15x * (1 + x) + 7x² * (1 + x) + x³(1 + x)) = 0
(9 + 9x + (-25i² + -25i²x) + -25i²x * (1 + x) + 15x * (1 + x) + 7x² * (1 + x) + x³(1 + x)) = 0
(9 + 9x + -25i² + -25i²x + (1 * -25i²x + x * -25i²x) + 15x * (1 + x) + 7x² * (1 + x) + x³(1 + x)) = 0
(9 + 9x + -25i² + -25i²x + (-25i²x + -25i²x²) + 15x * (1 + x) + 7x² * (1 + x) + x³(1 + x)) = 0
(9 + 9x + -25i² + -25i²x + -25i²x + -25i²x² + (1 * 15x + x * 15x) + 7x² * (1 + x) + x³(1 + x)) = 0
(9 + 9x + -25i² + -25i²x + -25i²x + -25i²x² + (15x + 15x²) + 7x² * (1 + x) + x³(1 + x)) = 0
(9 + 9x + -25i² + -25i²x + -25i²x + -25i²x² + 15x + 15x² + (1 * 7x² + x * 7x²) + x³(1 + x)) = 0
(9 + 9x + -25i² + -25i²x + -25i²x + -25i²x² + 15x + 15x² + (7x² + 7x³) + x³(1 + x)) = 0
(9 + 9x + -25i² + -25i²x + -25i²x + -25i²x² + 15x + 15x² + 7x² + 7x³ + (1 * x³ + x * x³)) = 0
(9 + 9x + -25i² + -25i²x + -25i²x + -25i²x² + 15x + 15x² + 7x² + 7x³ + (1x³ + x⁴)) = 0

Reorder the terms:
(9 + -25i² + -25i²x + -25i²x + -25i²x² + 9x + 15x + 15x² + 7x² + 7x³ + 1x³ + x⁴) = 0

Combine like terms: -25i²x + -25i²x = -50i²x
(9 + -25i² + -50i²x + -25i²x² + 9x + 15x + 15x² + 7x² + 7x³ + 1x³ + x⁴) = 0

Combine like terms: 9x + 15x = 24x
(9 + -25i² + -50i²x + -25i²x² + 24x + 15x² + 7x² + 7x³ + 1x³ + x⁴) = 0

Combine like terms: 15x² + 7x² = 22x²
(9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 7x³ + 1x³ + x⁴) = 0

Combine like terms: 7x³ + 1x³ = 8x³
(9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴) = 0

Solving
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + -9 + x⁴ = 0 + -9

Reorder the terms:
9 + -9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0 + -9
-25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0 + -9

Combine like terms: 0 + -9 = -9
-25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = -9

Add '-24x' to each side of the equation.
-25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + -24x + x⁴ = -9 + -24x

Reorder the terms:
-25i² + -50i²x + -25i²x² + 24x + -24x + 22x² + 8x³ + x⁴ = -9 + -24x

Combine like terms: 24x + -24x = 0
-25i² + -50i²x + -25i²x² + 0 + 22x² + 8x³ + x⁴ = -9 + -24x
-25i² + -50i²x + -25i²x² + 22x² + 8x³ + x⁴ = -9 + -24x

Add '-22x²' to each side of the equation.
-25i² + -50i²x + -25i²x² + 22x² + 8x³ + -22x² + x⁴ = -9 + -24x + -22x²

Reorder the terms:
-25i² + -50i²x + -25i²x² + 22x² + -22x² + 8x³ + x⁴ = -9 + -24x + -22x²

Combine like terms: 22x² + -22x² = 0
-25i² + -50i²x + -25i²x² + 0 + 8x³ + x⁴ = -9 + -24x + -22x²
-25i² + -50i²x + -25i²x² + 8x³ + x⁴ = -9 + -24x + -22x²

Add '-8x³' to each side of the equation.
-25i² + -50i²x + -25i²x² + 8x³ + -8x³ + x⁴ = -9 + -24x + -22x² + -8x³

Combine like terms: 8x³ + -8x³ = 0
-25i² + -50i²x + -25i²x² + 0 + x⁴ = -9 + -24x + -22x² + -8x³
-25i² + -50i²x + -25i²x² + x⁴ = -9 + -24x + -22x² + -8x³

Add '-1x⁴' to each side of the equation.
-25i² + -50i²x + -25i²x² + x⁴ + -1x⁴ = -9 + -24x + -22x² + -8x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-25i² + -50i²x + -25i²x² + 0 = -9 + -24x + -22x² + -8x³ + -1x⁴
-25i² + -50i²x + -25i²x² = -9 + -24x + -22x² + -8x³ + -1x⁴

Reorder the terms:
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = -9 + -24x + -22x² + -8x³ + -1x⁴ + 9 + 24x + 22x² + 8x³ + x⁴

Reorder the terms:
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = -9 + 9 + -24x + 24x + -22x² + 22x² + -8x³ + 8x³ + -1x⁴ + x⁴

Combine like terms: -9 + 9 = 0
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0 + -24x + 24x + -22x² + 22x² + -8x³ + 8x³ + -1x⁴ + x⁴
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = -24x + 24x + -22x² + 22x² + -8x³ + 8x³ + -1x⁴ + x⁴

Combine like terms: -24x + 24x = 0
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0 + -22x² + 22x² + -8x³ + 8x³ + -1x⁴ + x⁴
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = -22x² + 22x² + -8x³ + 8x³ + -1x⁴ + x⁴

Combine like terms: -22x² + 22x² = 0
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0 + -8x³ + 8x³ + -1x⁴ + x⁴
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = -8x³ + 8x³ + -1x⁴ + x⁴

Combine like terms: -8x³ + 8x³ = 0
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0 + -1x⁴ + x⁴
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
9 + -25i² + -50i²x + -25i²x² + 24x + 22x² + 8x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x-(-3+5i))(x-(-3-5i))(x+1)(x+1)=0

Simple and best practice solution for (x-(-3+5i))(x-(-3-5i))(x+1)(x+1)=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+1)(x+1)=0 equation:

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