m^2=-13m-42

Solution for m^2=-13m-42 equation:

Simplifying
m2 = -13m + -42

Reorder the terms:
m2 = -42 + -13m

Solving
m2 = -42 + -13m

Solving for variable 'm'.

Reorder the terms:
42 + 13m + m2 = -42 + -13m + 42 + 13m

Reorder the terms:
42 + 13m + m2 = -42 + 42 + -13m + 13m

Combine like terms: -42 + 42 = 0
42 + 13m + m2 = 0 + -13m + 13m
42 + 13m + m2 = -13m + 13m

Combine like terms: -13m + 13m = 0
42 + 13m + m2 = 0

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

Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 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 + m = 0 + -7

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

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

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

Simplifying
6 + m = 0

Solving
6 + m = 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 + m = 0 + -6

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

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

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