(m+1)(m-7)=

Solution for (m+1)(m-7)= equation:

Simplifying
(m + 1)(m + -7) = 0

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

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

Multiply (1 + m) * (-7 + m)
(1(-7 + m) + m(-7 + m)) = 0
((-7 * 1 + m * 1) + m(-7 + m)) = 0
((-7 + 1m) + m(-7 + m)) = 0
(-7 + 1m + (-7 * m + m * m)) = 0
(-7 + 1m + (-7m + m2)) = 0

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

Solving
-7 + -6m + m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

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

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

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

Simplifying
m = -1
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 = {-1, 7}