2m^2+17m=-36

Solution for 2m^2+17m=-36 equation:

Simplifying
2m2 + 17m = -36

Reorder the terms:
17m + 2m2 = -36

Solving
17m + 2m2 = -36

Solving for variable 'm'.

Reorder the terms:
36 + 17m + 2m2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 17m + 2m2 = 0

Factor a trinomial.
(9 + 2m)(4 + m) = 0

Subproblem 1
Set the factor '(9 + 2m)' equal to zero and attempt to solve:

Simplifying
9 + 2m = 0

Solving
9 + 2m = 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 + 2m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2m = 0 + -9
2m = 0 + -9

Combine like terms: 0 + -9 = -9
2m = -9

Divide each side by '2'.
m = -4.5

Simplifying
m = -4.5
Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

Solving
4 + m = 0

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

Add '-4' to each side of the equation.
4 + -4 + m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + m = 0 + -4
m = 0 + -4

Combine like terms: 0 + -4 = -4
m = -4

Simplifying
m = -4
Solution
m = {-4.5, -4}