18a^3-36a=0

Solution for 18a^3-36a=0 equation:

Simplifying
18a3 + -36a = 0

Reorder the terms:
-36a + 18a3 = 0

Solving
-36a + 18a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '18a'.
18a(-2 + a2) = 0

Ignore the factor 18.
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 '(-2 + a2)' equal to zero and attempt to solve:

Simplifying
-2 + a2 = 0

Solving
-2 + a2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + a2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + a2 = 0 + 2
a2 = 0 + 2

Combine like terms: 0 + 2 = 2
a2 = 2

Simplifying
a2 = 2

Take the square root of each side:
a = {-1.414213562, 1.414213562}
Solution
a = {0, -1.414213562, 1.414213562}