q^2+34q=0

Solution for q^2+34q=0 equation:

Simplifying
q2 + 34q = 0

Reorder the terms:
34q + q2 = 0

Solving
34q + q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(34 + 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 '(34 + q)' equal to zero and attempt to solve:

Simplifying
34 + q = 0

Solving
34 + q = 0

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

Add '-34' to each side of the equation.
34 + -34 + q = 0 + -34

Combine like terms: 34 + -34 = 0
0 + q = 0 + -34
q = 0 + -34

Combine like terms: 0 + -34 = -34
q = -34

Simplifying
q = -34
Solution
q = {0, -34}