10x(8x^3+1)=0

Solution for 10x(8x^3+1)=0 equation:

Simplifying
10x(8x3 + 1) = 0

Reorder the terms:
10x(1 + 8x3) = 0
(1 * 10x + 8x3 * 10x) = 0
(10x + 80x4) = 0

Solving
10x + 80x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(1 + 8x3) = 0

Ignore the factor 10.
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 + 8x3)' equal to zero and attempt to solve:

Simplifying
1 + 8x3 = 0

Solving
1 + 8x3 = 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 + 8x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x3 = 0 + -1
8x3 = 0 + -1

Combine like terms: 0 + -1 = -1
8x3 = -1

Divide each side by '8'.
x3 = -0.125

Simplifying
x3 = -0.125

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}