20a^2-8a=4a

Solution for 20a^2-8a=4a equation:

Simplifying
20a2 + -8a = 4a

Reorder the terms:
-8a + 20a2 = 4a

Solving
-8a + 20a2 = 4a

Solving for variable 'a'.

Reorder the terms:
-8a + -4a + 20a2 = 4a + -4a

Combine like terms: -8a + -4a = -12a
-12a + 20a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
-12a + 20a2 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-3 + 5a) = 0

Ignore the factor 4.
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}