-m^2-40m-39=

Solution for -m^2-40m-39= equation:

Simplifying
-1m2 + -40m + -39 = 0

Reorder the terms:
-39 + -40m + -1m2 = 0

Solving
-39 + -40m + -1m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(39 + 40m + m2) = 0

Factor a trinomial.
-1((39 + m)(1 + m)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(39 + m)' equal to zero and attempt to solve:

Simplifying
39 + m = 0

Solving
39 + m = 0

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

Add '-39' to each side of the equation.
39 + -39 + m = 0 + -39

Combine like terms: 39 + -39 = 0
0 + m = 0 + -39
m = 0 + -39

Combine like terms: 0 + -39 = -39
m = -39

Simplifying
m = -39
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

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

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

Simplifying
m = -1
Solution
m = {-39, -1}