x(x-1)(x+1)(x-5)+7=7

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Solution for x(x-1)(x+1)(x-5)+7=7 equation:


Simplifying
x(x + -1)(x + 1)(x + -5) + 7 = 7

Reorder the terms:
x(-1 + x)(x + 1)(x + -5) + 7 = 7

Reorder the terms:
x(-1 + x)(1 + x)(x + -5) + 7 = 7

Reorder the terms:
x(-1 + x)(1 + x)(-5 + x) + 7 = 7

Multiply (-1 + x) * (1 + x)
x(-1(1 + x) + x(1 + x))(-5 + x) + 7 = 7
x((1 * -1 + x * -1) + x(1 + x))(-5 + x) + 7 = 7
x((-1 + -1x) + x(1 + x))(-5 + x) + 7 = 7
x(-1 + -1x + (1 * x + x * x))(-5 + x) + 7 = 7
x(-1 + -1x + (1x + x2))(-5 + x) + 7 = 7

Combine like terms: -1x + 1x = 0
x(-1 + 0 + x2)(-5 + x) + 7 = 7
x(-1 + x2)(-5 + x) + 7 = 7

Multiply (-1 + x2) * (-5 + x)
x(-1(-5 + x) + x2(-5 + x)) + 7 = 7
x((-5 * -1 + x * -1) + x2(-5 + x)) + 7 = 7
x((5 + -1x) + x2(-5 + x)) + 7 = 7
x(5 + -1x + (-5 * x2 + x * x2)) + 7 = 7
x(5 + -1x + (-5x2 + x3)) + 7 = 7
x(5 + -1x + -5x2 + x3) + 7 = 7
(5 * x + -1x * x + -5x2 * x + x3 * x) + 7 = 7
(5x + -1x2 + -5x3 + x4) + 7 = 7

Reorder the terms:
7 + 5x + -1x2 + -5x3 + x4 = 7

Add '-7' to each side of the equation.
7 + 5x + -1x2 + -5x3 + -7 + x4 = 7 + -7

Reorder the terms:
7 + -7 + 5x + -1x2 + -5x3 + x4 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 5x + -1x2 + -5x3 + x4 = 7 + -7
5x + -1x2 + -5x3 + x4 = 7 + -7

Combine like terms: 7 + -7 = 0
5x + -1x2 + -5x3 + x4 = 0

Solving
5x + -1x2 + -5x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -1x + -5x2 + 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 + -1x + -5x2 + x3)' equal to zero and attempt to solve:

Simplifying
5 + -1x + -5x2 + x3 = 0

Solving
5 + -1x + -5x2 + 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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