8x^3=(2x)(a)

Solution for 8x^3=(2x)(a) equation:

Simplifying
8x3 = (2x)(a)

Remove parenthesis around (2x)
8x3 = 2x(a)

Multiply x * a
8x3 = 2ax

Solving
8x3 = 2ax

Solving for variable 'x'.

Reorder the terms:
-2ax + 8x3 = 2ax + -2ax

Combine like terms: 2ax + -2ax = 0
-2ax + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1a + 4x2) = 0

Ignore the factor 2.
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 '(-1a + 4x2)' equal to zero and attempt to solve:

Simplifying
-1a + 4x2 = 0

Solving
-1a + 4x2 = 0

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

Add 'a' to each side of the equation.
-1a + a + 4x2 = 0 + a

Combine like terms: -1a + a = 0
0 + 4x2 = 0 + a
4x2 = 0 + a
Remove the zero:
4x2 = a

Divide each side by '4'.
x2 = 0.25a

Simplifying
x2 = 0.25a

The solution to this equation could not be determined.

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