12a^2-9a=3a

Solution for 12a^2-9a=3a equation:

Simplifying
12a2 + -9a = 3a

Reorder the terms:
-9a + 12a2 = 3a

Solving
-9a + 12a2 = 3a

Solving for variable 'a'.

Reorder the terms:
-9a + -3a + 12a2 = 3a + -3a

Combine like terms: -9a + -3a = -12a
-12a + 12a2 = 3a + -3a

Combine like terms: 3a + -3a = 0
-12a + 12a2 = 0

Factor out the Greatest Common Factor (GCF), '12a'.
12a(-1 + a) = 0

Ignore the factor 12.
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 '(-1 + a)' equal to zero and attempt to solve:

Simplifying
-1 + a = 0

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

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

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

Simplifying
a = 1
Solution
a = {0, 1}