10a^2-4a=2a

Solution for 10a^2-4a=2a equation:

Simplifying
10a2 + -4a = 2a

Reorder the terms:
-4a + 10a2 = 2a

Solving
-4a + 10a2 = 2a

Solving for variable 'a'.

Reorder the terms:
-4a + -2a + 10a2 = 2a + -2a

Combine like terms: -4a + -2a = -6a
-6a + 10a2 = 2a + -2a

Combine like terms: 2a + -2a = 0
-6a + 10a2 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-3 + 5a) = 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 '(-3 + 5a)' equal to zero and attempt to solve:

Simplifying
-3 + 5a = 0

Solving
-3 + 5a = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5a = 0 + 3
5a = 0 + 3

Combine like terms: 0 + 3 = 3
5a = 3

Divide each side by '5'.
a = 0.6

Simplifying
a = 0.6
Solution
a = {0, 0.6}