12a^5-6a^2=

Solution for 12a^5-6a^2= equation:

Simplifying
12a5 + -6a2 = 0

Reorder the terms:
-6a2 + 12a5 = 0

Solving
-6a2 + 12a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a2'.
6a2(-1 + 2a3) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-1 + 2a3)' equal to zero and attempt to solve:

Simplifying
-1 + 2a3 = 0

Solving
-1 + 2a3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2a3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2a3 = 0 + 1
2a3 = 0 + 1

Combine like terms: 0 + 1 = 1
2a3 = 1

Divide each side by '2'.
a3 = 0.5

Simplifying
a3 = 0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}