(m+6)(m-7)=0

Solution for (m+6)(m-7)=0 equation:

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

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

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

Multiply (6 + m) * (-7 + m)
(6(-7 + m) + m(-7 + m)) = 0
((-7 * 6 + m * 6) + m(-7 + m)) = 0
((-42 + 6m) + m(-7 + m)) = 0
(-42 + 6m + (-7 * m + m * m)) = 0
(-42 + 6m + (-7m + m2)) = 0

Combine like terms: 6m + -7m = -1m
(-42 + -1m + m2) = 0

Solving
-42 + -1m + m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

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

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

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

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

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

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

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

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

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

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

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

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