3a^2-96=12a

Solution for 3a^2-96=12a equation:

Simplifying
3a2 + -96 = 12a

Reorder the terms:
-96 + 3a2 = 12a

Solving
-96 + 3a2 = 12a

Solving for variable 'a'.

Reorder the terms:
-96 + -12a + 3a2 = 12a + -12a

Combine like terms: 12a + -12a = 0
-96 + -12a + 3a2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-32 + -4a + a2) = 0

Factor a trinomial.
3((-4 + -1a)(8 + -1a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + -1a)' equal to zero and attempt to solve:

Simplifying
-4 + -1a = 0

Solving
-4 + -1a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = 0 + 4
-1a = 0 + 4

Combine like terms: 0 + 4 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {-4, 8}