6q^2+60q=3600

Solution for 6q^2+60q=3600 equation:

Simplifying
6q2 + 60q = 3600

Reorder the terms:
60q + 6q2 = 3600

Solving
60q + 6q2 = 3600

Solving for variable 'q'.

Reorder the terms:
-3600 + 60q + 6q2 = 3600 + -3600

Combine like terms: 3600 + -3600 = 0
-3600 + 60q + 6q2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-600 + 10q + q2) = 0

Factor a trinomial.
6((-30 + -1q)(20 + -1q)) = 0

Ignore the factor 6.
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 '(20 + -1q)' equal to zero and attempt to solve:

Simplifying
20 + -1q = 0

Solving
20 + -1q = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1q = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1q = 0 + -20
-1q = 0 + -20

Combine like terms: 0 + -20 = -20
-1q = -20

Divide each side by '-1'.
q = 20

Simplifying
q = 20
Solution
q = {-30, 20}