12a^2+-39a+20a^2=

Solution for 12a^2+-39a+20a^2= equation:

Simplifying
12a2 + -39a + 20a2 = 0

Reorder the terms:
-39a + 12a2 + 20a2 = 0

Combine like terms: 12a2 + 20a2 = 32a2
-39a + 32a2 = 0

Solving
-39a + 32a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-39 + 32a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-39 + 32a)' equal to zero and attempt to solve:

Simplifying
-39 + 32a = 0

Solving
-39 + 32a = 0

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

Add '39' to each side of the equation.
-39 + 39 + 32a = 0 + 39

Combine like terms: -39 + 39 = 0
0 + 32a = 0 + 39
32a = 0 + 39

Combine like terms: 0 + 39 = 39
32a = 39

Divide each side by '32'.
a = 1.21875

Simplifying
a = 1.21875
Solution
a = {0, 1.21875}