60=8q+4q^2

Solution for 60=8q+4q^2 equation:

Simplifying
60 = 8q + 4q2

Solving
60 = 8q + 4q2

Solving for variable 'q'.

Reorder the terms:
60 + -8q + -4q2 = 8q + -8q + 4q2 + -4q2

Combine like terms: 8q + -8q = 0
60 + -8q + -4q2 = 0 + 4q2 + -4q2
60 + -8q + -4q2 = 4q2 + -4q2

Combine like terms: 4q2 + -4q2 = 0
60 + -8q + -4q2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -2q + -1q2) = 0

Factor a trinomial.
4((3 + -1q)(5 + q)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -1q)' equal to zero and attempt to solve:

Simplifying
3 + -1q = 0

Solving
3 + -1q = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1q = 0 + -3
-1q = 0 + -3

Combine like terms: 0 + -3 = -3
-1q = -3

Divide each side by '-1'.
q = 3

Simplifying
q = 3
Subproblem 2
Set the factor '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 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 + q = 0 + -5

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

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

Simplifying
q = -5
Solution
q = {3, -5}