6a^2-a=a

Solution for 6a^2-a=a equation:

Simplifying
6a2 + -1a = a

Reorder the terms:
-1a + 6a2 = a

Solving
-1a + 6a2 = a

Solving for variable 'a'.

Reorder the terms:
-1a + -1a + 6a2 = a + -1a

Combine like terms: -1a + -1a = -2a
-2a + 6a2 = a + -1a

Combine like terms: a + -1a = 0
-2a + 6a2 = 0

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

Ignore the factor 2.
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}