2a^3=12a

Solution for 2a^3=12a equation:

Simplifying
2a3 = 12a

Solving
2a3 = 12a

Solving for variable 'a'.

Reorder the terms:
-12a + 2a3 = 12a + -12a

Combine like terms: 12a + -12a = 0
-12a + 2a3 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-6 + a2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-6 + a2)' equal to zero and attempt to solve:

Simplifying
-6 + a2 = 0

Solving
-6 + a2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + a2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + a2 = 0 + 6
a2 = 0 + 6

Combine like terms: 0 + 6 = 6
a2 = 6

Simplifying
a2 = 6

Take the square root of each side:
a = {-2.449489743, 2.449489743}
Solution
a = {0, -2.449489743, 2.449489743}