(6q+6)(q-5)=

Solution for (6q+6)(q-5)= equation:

Simplifying
(6q + 6)(q + -5) = 0

Reorder the terms:
(6 + 6q)(q + -5) = 0

Reorder the terms:
(6 + 6q)(-5 + q) = 0

Multiply (6 + 6q) * (-5 + q)
(6(-5 + q) + 6q * (-5 + q)) = 0
((-5 * 6 + q * 6) + 6q * (-5 + q)) = 0
((-30 + 6q) + 6q * (-5 + q)) = 0
(-30 + 6q + (-5 * 6q + q * 6q)) = 0
(-30 + 6q + (-30q + 6q2)) = 0

Combine like terms: 6q + -30q = -24q
(-30 + -24q + 6q2) = 0

Solving
-30 + -24q + 6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-5 + -4q + q2) = 0

Factor a trinomial.
6((-1 + -1q)(5 + -1q)) = 0

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

Simplifying
-1 + -1q = 0

Solving
-1 + -1q = 0

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

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

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

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

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

Simplifying
q = -1
Subproblem 2
Set the factor '(5 + -1q)' equal to zero and attempt to solve:

Simplifying
5 + -1q = 0

Solving
5 + -1q = 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 + -1q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1q = 0 + -5
-1q = 0 + -5

Combine like terms: 0 + -5 = -5
-1q = -5

Divide each side by '-1'.
q = 5

Simplifying
q = 5
Solution
q = {-1, 5}