(6q+7)(2q+3)=

Solution for (6q+7)(2q+3)= equation:

Simplifying
(6q + 7)(2q + 3) = 0

Reorder the terms:
(7 + 6q)(2q + 3) = 0

Reorder the terms:
(7 + 6q)(3 + 2q) = 0

Multiply (7 + 6q) * (3 + 2q)
(7(3 + 2q) + 6q * (3 + 2q)) = 0
((3 * 7 + 2q * 7) + 6q * (3 + 2q)) = 0
((21 + 14q) + 6q * (3 + 2q)) = 0
(21 + 14q + (3 * 6q + 2q * 6q)) = 0
(21 + 14q + (18q + 12q2)) = 0

Combine like terms: 14q + 18q = 32q
(21 + 32q + 12q2) = 0

Solving
21 + 32q + 12q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(3 + 2q)(7 + 6q) = 0

Subproblem 1
Set the factor '(3 + 2q)' equal to zero and attempt to solve:

Simplifying
3 + 2q = 0

Solving
3 + 2q = 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 + 2q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2q = 0 + -3
2q = 0 + -3

Combine like terms: 0 + -3 = -3
2q = -3

Divide each side by '2'.
q = -1.5

Simplifying
q = -1.5
Subproblem 2
Set the factor '(7 + 6q)' equal to zero and attempt to solve:

Simplifying
7 + 6q = 0

Solving
7 + 6q = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6q = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6q = 0 + -7
6q = 0 + -7

Combine like terms: 0 + -7 = -7
6q = -7

Divide each side by '6'.
q = -1.166666667

Simplifying
q = -1.166666667
Solution
q = {-1.5, -1.166666667}