8a^2+4=12a

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

Simplifying
8a2 + 4 = 12a

Reorder the terms:
4 + 8a2 = 12a

Solving
4 + 8a2 = 12a

Solving for variable 'a'.

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

Combine like terms: 12a + -12a = 0
4 + -12a + 8a2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -3a + 2a2) = 0

Factor a trinomial.
4((1 + -2a)(1 + -1a)) = 0

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

Simplifying
1 + -2a = 0

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

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

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

Divide each side by '-2'.
a = 0.5

Simplifying
a = 0.5
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

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

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

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

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

Simplifying
a = 1
Solution
a = {0.5, 1}