60q+q^2=7200

Solution for 60q+q^2=7200 equation:

Simplifying
60q + q2 = 7200

Solving
60q + q2 = 7200

Solving for variable 'q'.

Reorder the terms:
-7200 + 60q + q2 = 7200 + -7200

Combine like terms: 7200 + -7200 = 0
-7200 + 60q + q2 = 0

Factor a trinomial.
(-120 + -1q)(60 + -1q) = 0

Subproblem 1
Set the factor '(-120 + -1q)' equal to zero and attempt to solve:

Simplifying
-120 + -1q = 0

Solving
-120 + -1q = 0

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

Add '120' to each side of the equation.
-120 + 120 + -1q = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -1q = 0 + 120
-1q = 0 + 120

Combine like terms: 0 + 120 = 120
-1q = 120

Divide each side by '-1'.
q = -120

Simplifying
q = -120
Subproblem 2
Set the factor '(60 + -1q)' equal to zero and attempt to solve:

Simplifying
60 + -1q = 0

Solving
60 + -1q = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1q = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1q = 0 + -60
-1q = 0 + -60

Combine like terms: 0 + -60 = -60
-1q = -60

Divide each side by '-1'.
q = 60

Simplifying
q = 60
Solution
q = {-120, 60}