3q+5q^2=0

Solution for 3q+5q^2=0 equation:

Simplifying
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}