m^2+17m+30=0

Solution for m^2+17m+30=0 equation:

Simplifying
m2 + 17m + 30 = 0

Reorder the terms:
30 + 17m + m2 = 0

Solving
30 + 17m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(15 + m)' equal to zero and attempt to solve:

Simplifying
15 + m = 0

Solving
15 + m = 0

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

Add '-15' to each side of the equation.
15 + -15 + m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + m = 0 + -15
m = 0 + -15

Combine like terms: 0 + -15 = -15
m = -15

Simplifying
m = -15
Subproblem 2
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
Solution
m = {-15, -2}