-m^2-3m-6=-6

Solution for -m^2-3m-6=-6 equation:

Simplifying
-1m2 + -3m + -6 = -6

Reorder the terms:
-6 + -3m + -1m2 = -6

Add '6' to each side of the equation.
-6 + -3m + 6 + -1m2 = -6 + 6

Reorder the terms:
-6 + 6 + -3m + -1m2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + -3m + -1m2 = -6 + 6
-3m + -1m2 = -6 + 6

Combine like terms: -6 + 6 = 0
-3m + -1m2 = 0

Solving
-3m + -1m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-1m'.
-1m(3 + m) = 0

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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {0, -3}