x^3=2(x^2+x^2+x^2)

Solution for x^3=2(x^2+x^2+x^2) equation:

Simplifying
x3 = 2(x2 + x2 + x2)

Combine like terms: x2 + x2 = 2x2
x3 = 2(2x2 + x2)

Combine like terms: 2x2 + x2 = 3x2
x3 = 2(3x2)

Remove parenthesis around (3x2)
x3 = 2 * 3x2

Multiply 2 * 3
x3 = 6x2

Solving
x3 = 6x2

Solving for variable 'x'.

Reorder the terms:
-6x2 + x3 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-6 + x) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}