a^2=-12+8a

Solution for a^2=-12+8a equation:

Simplifying
a2 = -12 + 8a

Solving
a2 = -12 + 8a

Solving for variable 'a'.

Reorder the terms:
12 + -8a + a2 = -12 + 8a + 12 + -8a

Reorder the terms:
12 + -8a + a2 = -12 + 12 + 8a + -8a

Combine like terms: -12 + 12 = 0
12 + -8a + a2 = 0 + 8a + -8a
12 + -8a + a2 = 8a + -8a

Combine like terms: 8a + -8a = 0
12 + -8a + a2 = 0

Factor a trinomial.
(2 + -1a)(6 + -1a) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 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 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 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 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {2, 6}