5q^2+4q=

Solution for 5q^2+4q= equation:

Simplifying
5q2 + 4q = 0

Reorder the terms:
4q + 5q2 = 0

Solving
4q + 5q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(4 + 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 '(4 + 5q)' equal to zero and attempt to solve:

Simplifying
4 + 5q = 0

Solving
4 + 5q = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5q = 0 + -4
5q = 0 + -4

Combine like terms: 0 + -4 = -4
5q = -4

Divide each side by '5'.
q = -0.8

Simplifying
q = -0.8
Solution
q = {0, -0.8}