x(x^2-12)=0

Solution for x(x^2-12)=0 equation:

Simplifying
x(x2 + -12) = 0

Reorder the terms:
x(-12 + x2) = 0
(-12 * x + x2 * x) = 0
(-12x + x3) = 0

Solving
-12x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + x2) = 0

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 '(-12 + x2)' equal to zero and attempt to solve:

Simplifying
-12 + x2 = 0

Solving
-12 + x2 = 0

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

Add '12' to each side of the equation.
-12 + 12 + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x2 = 0 + 12
x2 = 0 + 12

Combine like terms: 0 + 12 = 12
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}
Solution
x = {0, -3.464101615, 3.464101615}