-q(q+4)+60=0

Solution for -q(q+4)+60=0 equation:

Simplifying
-1q(q + 4) + 60 = 0

Reorder the terms:
-1q(4 + q) + 60 = 0
(4 * -1q + q * -1q) + 60 = 0
(-4q + -1q2) + 60 = 0

Reorder the terms:
60 + -4q + -1q2 = 0

Solving
60 + -4q + -1q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(6 + -1q)(10 + q) = 0

Subproblem 1
Set the factor '(6 + -1q)' equal to zero and attempt to solve:

Simplifying
6 + -1q = 0

Solving
6 + -1q = 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 + -1q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = 0 + -6
-1q = 0 + -6

Combine like terms: 0 + -6 = -6
-1q = -6

Divide each side by '-1'.
q = 6

Simplifying
q = 6
Subproblem 2
Set the factor '(10 + q)' equal to zero and attempt to solve:

Simplifying
10 + q = 0

Solving
10 + q = 0

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

Add '-10' to each side of the equation.
10 + -10 + q = 0 + -10

Combine like terms: 10 + -10 = 0
0 + q = 0 + -10
q = 0 + -10

Combine like terms: 0 + -10 = -10
q = -10

Simplifying
q = -10
Solution
q = {6, -10}