2q^2+30q-900=0

Solution for 2q^2+30q-900=0 equation:

Simplifying
2q2 + 30q + -900 = 0

Reorder the terms:
-900 + 30q + 2q2 = 0

Solving
-900 + 30q + 2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-450 + 15q + q2) = 0

Factor a trinomial.
2((-30 + -1q)(15 + -1q)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-30 + -1q)' equal to zero and attempt to solve:

Simplifying
-30 + -1q = 0

Solving
-30 + -1q = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1q = 0 + 30

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

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

Divide each side by '-1'.
q = -30

Simplifying
q = -30
Subproblem 2
Set the factor '(15 + -1q)' equal to zero and attempt to solve:

Simplifying
15 + -1q = 0

Solving
15 + -1q = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1q = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1q = 0 + -15
-1q = 0 + -15

Combine like terms: 0 + -15 = -15
-1q = -15

Divide each side by '-1'.
q = 15

Simplifying
q = 15
Solution
q = {-30, 15}