(g+6)(g-7)=

Solution for (g+6)(g-7)= equation:

Simplifying
(g + 6)(g + -7) = 0

Reorder the terms:
(6 + g)(g + -7) = 0

Reorder the terms:
(6 + g)(-7 + g) = 0

Multiply (6 + g) * (-7 + g)
(6(-7 + g) + g(-7 + g)) = 0
((-7 * 6 + g * 6) + g(-7 + g)) = 0
((-42 + 6g) + g(-7 + g)) = 0
(-42 + 6g + (-7 * g + g * g)) = 0
(-42 + 6g + (-7g + g2)) = 0

Combine like terms: 6g + -7g = -1g
(-42 + -1g + g2) = 0

Solving
-42 + -1g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-6 + -1g)(7 + -1g) = 0

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

Simplifying
-6 + -1g = 0

Solving
-6 + -1g = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1g = 0 + 6

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

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

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

Simplifying
g = -6
Subproblem 2
Set the factor '(7 + -1g)' equal to zero and attempt to solve:

Simplifying
7 + -1g = 0

Solving
7 + -1g = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1g = 0 + -7
-1g = 0 + -7

Combine like terms: 0 + -7 = -7
-1g = -7

Divide each side by '-1'.
g = 7

Simplifying
g = 7
Solution
g = {-6, 7}