-m^2-10m-16=0

Solution for -m^2-10m-16=0 equation:

Simplifying
-1m2 + -10m + -16 = 0

Reorder the terms:
-16 + -10m + -1m2 = 0

Solving
-16 + -10m + -1m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 10m + m2) = 0

Factor a trinomial.
-1((8 + m)(2 + m)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve:

Simplifying
8 + m = 0

Solving
8 + m = 0

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

Add '-8' to each side of the equation.
8 + -8 + m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m = 0 + -8
m = 0 + -8

Combine like terms: 0 + -8 = -8
m = -8

Simplifying
m = -8
Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Solution
m = {-8, -2}