12-4a+a^2=8

Solution for 12-4a+a^2=8 equation:

Simplifying
12 + -4a + a2 = 8

Solving
12 + -4a + a2 = 8

Solving for variable 'a'.

Reorder the terms:
12 + -8 + -4a + a2 = 8 + -8

Combine like terms: 12 + -8 = 4
4 + -4a + a2 = 8 + -8

Combine like terms: 8 + -8 = 0
4 + -4a + a2 = 0

Factor a trinomial.
(2 + -1a)(2 + -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 '(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
Solution
a = {2, 2}