5q^2+10q-0=0

Solution for 5q^2+10q-0=0 equation:

Simplifying
5q2 + 10q + 0 = 0

Reorder the terms:
0 + 10q + 5q2 = 0
Remove the zero:
10q + 5q2 = 0

Solving
10q + 5q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '5q'.
5q(2 + q) = 0

Ignore the factor 5.
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 '(2 + q)' equal to zero and attempt to solve:

Simplifying
2 + q = 0

Solving
2 + q = 0

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

Add '-2' to each side of the equation.
2 + -2 + q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + q = 0 + -2
q = 0 + -2

Combine like terms: 0 + -2 = -2
q = -2

Simplifying
q = -2
Solution
q = {0, -2}