m^2+99=-20m

Solution for m^2+99=-20m equation:

Simplifying
m2 + 99 = -20m

Reorder the terms:
99 + m2 = -20m

Solving
99 + m2 = -20m

Solving for variable 'm'.

Reorder the terms:
99 + 20m + m2 = -20m + 20m

Combine like terms: -20m + 20m = 0
99 + 20m + m2 = 0

Factor a trinomial.
(11 + m)(9 + m) = 0

Subproblem 1
Set the factor '(11 + m)' equal to zero and attempt to solve:

Simplifying
11 + m = 0

Solving
11 + m = 0

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

Add '-11' to each side of the equation.
11 + -11 + m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + m = 0 + -11
m = 0 + -11

Combine like terms: 0 + -11 = -11
m = -11

Simplifying
m = -11
Subproblem 2
Set the factor '(9 + m)' equal to zero and attempt to solve:

Simplifying
9 + m = 0

Solving
9 + m = 0

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

Add '-9' to each side of the equation.
9 + -9 + m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + m = 0 + -9
m = 0 + -9

Combine like terms: 0 + -9 = -9
m = -9

Simplifying
m = -9
Solution
m = {-11, -9}