q^2+14q=0

Solution for q^2+14q=0 equation:

Simplifying
q2 + 14q = 0

Reorder the terms:
14q + q2 = 0

Solving
14q + q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(14 + q) = 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 '(14 + q)' equal to zero and attempt to solve:

Simplifying
14 + q = 0

Solving
14 + q = 0

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

Add '-14' to each side of the equation.
14 + -14 + q = 0 + -14

Combine like terms: 14 + -14 = 0
0 + q = 0 + -14
q = 0 + -14

Combine like terms: 0 + -14 = -14
q = -14

Simplifying
q = -14
Solution
q = {0, -14}