6a^2=4a

Solution for 6a^2=4a equation:

Simplifying
6a2 = 4a

Solving
6a2 = 4a

Solving for variable 'a'.

Reorder the terms:
-4a + 6a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
-4a + 6a2 = 0

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

Simplifying
-2 + 3a = 0

Solving
-2 + 3a = 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 + 3a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3a = 0 + 2
3a = 0 + 2

Combine like terms: 0 + 2 = 2
3a = 2

Divide each side by '3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
Solution
a = {0, 0.6666666667}