q(5q-3)=0

Solution for q(5q-3)=0 equation:

Simplifying
q(5q + -3) = 0

Reorder the terms:
q(-3 + 5q) = 0
(-3 * q + 5q * q) = 0
(-3q + 5q2) = 0

Solving
-3q + 5q2 = 0

Solving for variable 'q'.

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

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 '(-3 + 5q)' equal to zero and attempt to solve:

Simplifying
-3 + 5q = 0

Solving
-3 + 5q = 0

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

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

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

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

Divide each side by '5'.
q = 0.6

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