9a^2=3a

Solution for 9a^2=3a equation:

Simplifying
9a2 = 3a

Solving
9a2 = 3a

Solving for variable 'a'.

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

Combine like terms: 3a + -3a = 0
-3a + 9a2 = 0

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

Ignore the factor 3.
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 + 3a)' equal to zero and attempt to solve:

Simplifying
-1 + 3a = 0

Solving
-1 + 3a = 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 + 3a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3a = 0 + 1
3a = 0 + 1

Combine like terms: 0 + 1 = 1
3a = 1

Divide each side by '3'.
a = 0.3333333333

Simplifying
a = 0.3333333333
Solution
a = {0, 0.3333333333}