q^2+18q=0

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Solution for q^2+18q=0 equation: 


Simplifying
q2 + 18q = 0

Reorder the terms:
18q + q2 = 0

Solving
18q + q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(18 + 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 '(18 + q)' equal to zero and attempt to solve:

Simplifying
18 + q = 0

Solving
18 + q = 0

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

Add '-18' to each side of the equation.
18 + -18 + q = 0 + -18

Combine like terms: 18 + -18 = 0
0 + q = 0 + -18
q = 0 + -18

Combine like terms: 0 + -18 = -18
q = -18

Simplifying
q = -18
Solution
q = {0, -18}

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