20a^2-15a=5a

Solution for 20a^2-15a=5a equation:

Simplifying
20a2 + -15a = 5a

Reorder the terms:
-15a + 20a2 = 5a

Solving
-15a + 20a2 = 5a

Solving for variable 'a'.

Reorder the terms:
-15a + -5a + 20a2 = 5a + -5a

Combine like terms: -15a + -5a = -20a
-20a + 20a2 = 5a + -5a

Combine like terms: 5a + -5a = 0
-20a + 20a2 = 0

Factor out the Greatest Common Factor (GCF), '20a'.
20a(-1 + a) = 0

Ignore the factor 20.
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 + a)' equal to zero and attempt to solve:

Simplifying
-1 + a = 0

Solving
-1 + a = 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 + a = 0 + 1

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

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

Simplifying
a = 1
Solution
a = {0, 1}