9a^2-4a+a-3a^2=

Solution for 9a^2-4a+a-3a^2= equation:

Simplifying
9a2 + -4a + a + -3a2 = 0

Reorder the terms:
-4a + a + 9a2 + -3a2 = 0

Combine like terms: -4a + a = -3a
-3a + 9a2 + -3a2 = 0

Combine like terms: 9a2 + -3a2 = 6a2
-3a + 6a2 = 0

Solving
-3a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-1 + 2a) = 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 + 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
Solution
a = {0, 0.5}