m^2+30=-11m

Solution for m^2+30=-11m equation:

Simplifying
m2 + 30 = -11m

Reorder the terms:
30 + m2 = -11m

Solving
30 + m2 = -11m

Solving for variable 'm'.

Reorder the terms:
30 + 11m + m2 = -11m + 11m

Combine like terms: -11m + 11m = 0
30 + 11m + m2 = 0

Factor a trinomial.
(6 + m)(5 + m) = 0

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 '(5 + m)' equal to zero and attempt to solve:

Simplifying
5 + m = 0

Solving
5 + m = 0

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

Add '-5' to each side of the equation.
5 + -5 + m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m = 0 + -5
m = 0 + -5

Combine like terms: 0 + -5 = -5
m = -5

Simplifying
m = -5
Solution
m = {-6, -5}