0=q^2+q-30

Solution for 0=q^2+q-30 equation:

Simplifying
0 = q2 + q + -30

Reorder the terms:
0 = -30 + q + q2

Solving
0 = -30 + q + q2

Solving for variable 'q'.

Combine like terms: 0 + 30 = 30
30 + -1q + -1q2 = -30 + q + q2 + 30 + -1q + -1q2

Reorder the terms:
30 + -1q + -1q2 = -30 + 30 + q + -1q + q2 + -1q2

Combine like terms: -30 + 30 = 0
30 + -1q + -1q2 = 0 + q + -1q + q2 + -1q2
30 + -1q + -1q2 = q + -1q + q2 + -1q2

Combine like terms: q + -1q = 0
30 + -1q + -1q2 = 0 + q2 + -1q2
30 + -1q + -1q2 = q2 + -1q2

Combine like terms: q2 + -1q2 = 0
30 + -1q + -1q2 = 0

Factor a trinomial.
(5 + -1q)(6 + q) = 0

Subproblem 1
Set the factor '(5 + -1q)' equal to zero and attempt to solve:

Simplifying
5 + -1q = 0

Solving
5 + -1q = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1q = 0 + -5
-1q = 0 + -5

Combine like terms: 0 + -5 = -5
-1q = -5

Divide each side by '-1'.
q = 5

Simplifying
q = 5
Subproblem 2
Set the factor '(6 + q)' equal to zero and attempt to solve:

Simplifying
6 + q = 0

Solving
6 + q = 0

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

Add '-6' to each side of the equation.
6 + -6 + q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + q = 0 + -6
q = 0 + -6

Combine like terms: 0 + -6 = -6
q = -6

Simplifying
q = -6
Solution
q = {5, -6}