-8x^3+8x+5=5

Solution for -8x^3+8x+5=5 equation:

Simplifying
-8x3 + 8x + 5 = 5

Reorder the terms:
5 + 8x + -8x3 = 5

Add '-5' to each side of the equation.
5 + 8x + -5 + -8x3 = 5 + -5

Reorder the terms:
5 + -5 + 8x + -8x3 = 5 + -5

Combine like terms: 5 + -5 = 0
0 + 8x + -8x3 = 5 + -5
8x + -8x3 = 5 + -5

Combine like terms: 5 + -5 = 0
8x + -8x3 = 0

Solving
8x + -8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(1 + -1x2) = 0

Factor a difference between two squares.
8x((1 + x)(1 + -1x)) = 0

Ignore the factor 8.
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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, -1, 1}