9q^2-15q=0

Solution for 9q^2-15q=0 equation:

Simplifying
9q2 + -15q = 0

Reorder the terms:
-15q + 9q2 = 0

Solving
-15q + 9q2 = 0

Solving for variable 'q'.

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

Ignore the factor 3.
Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0
Subproblem 2
Set the factor '(-5 + 3q)' equal to zero and attempt to solve:

Simplifying
-5 + 3q = 0

Solving
-5 + 3q = 0

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

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

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

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

Divide each side by '3'.
q = 1.666666667

Simplifying
q = 1.666666667
Solution
q = {0, 1.666666667}