m^2+2=-3m

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

Simplifying
m2 + 2 = -3m

Reorder the terms:
2 + m2 = -3m

Solving
2 + m2 = -3m

Solving for variable 'm'.

Reorder the terms:
2 + 3m + m2 = -3m + 3m

Combine like terms: -3m + 3m = 0
2 + 3m + m2 = 0

Factor a trinomial.
(2 + m)(1 + m) = 0

Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 0

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

Add '-1' to each side of the equation.
1 + -1 + m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m = 0 + -1
m = 0 + -1

Combine like terms: 0 + -1 = -1
m = -1

Simplifying
m = -1
Solution
m = {-2, -1}