(x+5)(x)(x-1)(x-1)-4x*2+8x=0

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Solution for (x+5)(x)(x-1)(x-1)-4x*2+8x=0 equation:


Simplifying
(x + 5)(x)(x + -1)(x + -1) + -4x * 2 + 8x = 0

Reorder the terms:
(5 + x)(x)(x + -1)(x + -1) + -4x * 2 + 8x = 0

Reorder the terms:
(5 + x) * x(-1 + x)(x + -1) + -4x * 2 + 8x = 0

Reorder the terms:
(5 + x) * x(-1 + x)(-1 + x) + -4x * 2 + 8x = 0

Reorder the terms for easier multiplication:
x(5 + x)(-1 + x)(-1 + x) + -4x * 2 + 8x = 0

Multiply (5 + x) * (-1 + x)
x(5(-1 + x) + x(-1 + x))(-1 + x) + -4x * 2 + 8x = 0
x((-1 * 5 + x * 5) + x(-1 + x))(-1 + x) + -4x * 2 + 8x = 0
x((-5 + 5x) + x(-1 + x))(-1 + x) + -4x * 2 + 8x = 0
x(-5 + 5x + (-1 * x + x * x))(-1 + x) + -4x * 2 + 8x = 0
x(-5 + 5x + (-1x + x2))(-1 + x) + -4x * 2 + 8x = 0

Combine like terms: 5x + -1x = 4x
x(-5 + 4x + x2)(-1 + x) + -4x * 2 + 8x = 0

Multiply (-5 + 4x + x2) * (-1 + x)
x(-5(-1 + x) + 4x * (-1 + x) + x2(-1 + x)) + -4x * 2 + 8x = 0
x((-1 * -5 + x * -5) + 4x * (-1 + x) + x2(-1 + x)) + -4x * 2 + 8x = 0
x((5 + -5x) + 4x * (-1 + x) + x2(-1 + x)) + -4x * 2 + 8x = 0
x(5 + -5x + (-1 * 4x + x * 4x) + x2(-1 + x)) + -4x * 2 + 8x = 0
x(5 + -5x + (-4x + 4x2) + x2(-1 + x)) + -4x * 2 + 8x = 0
x(5 + -5x + -4x + 4x2 + (-1 * x2 + x * x2)) + -4x * 2 + 8x = 0
x(5 + -5x + -4x + 4x2 + (-1x2 + x3)) + -4x * 2 + 8x = 0

Combine like terms: -5x + -4x = -9x
x(5 + -9x + 4x2 + -1x2 + x3) + -4x * 2 + 8x = 0

Combine like terms: 4x2 + -1x2 = 3x2
x(5 + -9x + 3x2 + x3) + -4x * 2 + 8x = 0
(5 * x + -9x * x + 3x2 * x + x3 * x) + -4x * 2 + 8x = 0
(5x + -9x2 + 3x3 + x4) + -4x * 2 + 8x = 0

Reorder the terms for easier multiplication:
5x + -9x2 + 3x3 + x4 + -4 * 2x + 8x = 0

Multiply -4 * 2
5x + -9x2 + 3x3 + x4 + -8x + 8x = 0

Reorder the terms:
5x + -8x + 8x + -9x2 + 3x3 + x4 = 0

Combine like terms: 5x + -8x = -3x
-3x + 8x + -9x2 + 3x3 + x4 = 0

Combine like terms: -3x + 8x = 5x
5x + -9x2 + 3x3 + x4 = 0

Solving
5x + -9x2 + 3x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -9x + 3x2 + x3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(5 + -9x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying 5 + -9x + 3x2 + x3 = 0 Solving 5 + -9x + 3x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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