3a^2+6a=6a^2

Solution for 3a^2+6a=6a^2 equation:

Simplifying
3a2 + 6a = 6a2

Reorder the terms:
6a + 3a2 = 6a2

Solving
6a + 3a2 = 6a2

Solving for variable 'a'.

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

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

Factor out the Greatest Common Factor (GCF), '3a'.
3a(2 + -1a) = 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 '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {0, 2}