15a^2-6a=0

Solution for 15a^2-6a=0 equation:

Simplifying
15a2 + -6a = 0

Reorder the terms:
-6a + 15a2 = 0

Solving
-6a + 15a2 = 0

Solving for variable 'a'.

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

Simplifying
-2 + 5a = 0

Solving
-2 + 5a = 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 + 5a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5a = 0 + 2
5a = 0 + 2

Combine like terms: 0 + 2 = 2
5a = 2

Divide each side by '5'.
a = 0.4

Simplifying
a = 0.4
Solution
a = {0, 0.4}