-18-9m=m^2

Solution for -18-9m=m^2 equation:

Simplifying
-18 + -9m = m2

Solving
-18 + -9m = m2

Solving for variable 'm'.

Combine like terms: m2 + -1m2 = 0
-18 + -9m + -1m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(18 + 9m + m2) = 0

Factor a trinomial.
-1((6 + m)(3 + m)) = 0

Ignore the factor -1.
Subproblem 1
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
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 = {-6, -3}