m^2+9=-6m

Solution for m^2+9=-6m equation:

Simplifying
m2 + 9 = -6m

Reorder the terms:
9 + m2 = -6m

Solving
9 + m2 = -6m

Solving for variable 'm'.

Reorder the terms:
9 + 6m + m2 = -6m + 6m

Combine like terms: -6m + 6m = 0
9 + 6m + m2 = 0

Factor a trinomial.
(3 + m)(3 + m) = 0

Subproblem 1
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
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 = {-3, -3}