(2x)(2x)(2x)=2(x*2)

Solution for (2x)(2x)(2x)=2(x*2) equation:

Simplifying
(2x)(2x)(2x) = 2(x * 2)

Remove parenthesis around (2x)
2x(2x)(2x) = 2(x * 2)

Remove parenthesis around (2x)
2x * 2x(2x) = 2(x * 2)

Remove parenthesis around (2x)
2x * 2x * 2x = 2(x * 2)

Reorder the terms for easier multiplication:
2 * 2 * 2x * x * x = 2(x * 2)

Multiply 2 * 2
4 * 2x * x * x = 2(x * 2)

Multiply 4 * 2
8x * x * x = 2(x * 2)

Multiply x * x
8x2 * x = 2(x * 2)

Multiply x2 * x
8x3 = 2(x * 2)

Reorder the terms for easier multiplication:
8x3 = 2(2x)

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

Multiply 2 * 2
8x3 = 4x

Solving
8x3 = 4x

Solving for variable 'x'.

Reorder the terms:
-4x + 8x3 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4x + 8x3 = 0

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

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

Simplifying
-1 + 2x2 = 0

Solving
-1 + 2x2 = 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 + 2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 0 + 1
2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
2x2 = 1

Divide each side by '2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}
Solution
x = {0, -0.707106781, 0.707106781}