9a^2-56a+12=0

Solution for 9a^2-56a+12=0 equation:

Simplifying
9a2 + -56a + 12 = 0

Reorder the terms:
12 + -56a + 9a2 = 0

Solving
12 + -56a + 9a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -9a)(6 + -1a) = 0

Subproblem 1
Set the factor '(2 + -9a)' equal to zero and attempt to solve:

Simplifying
2 + -9a = 0

Solving
2 + -9a = 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 + -9a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9a = 0 + -2
-9a = 0 + -2

Combine like terms: 0 + -2 = -2
-9a = -2

Divide each side by '-9'.
a = 0.2222222222

Simplifying
a = 0.2222222222
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 = {0.2222222222, 6}