2m^2+19m+17=0

Solution for 2m^2+19m+17=0 equation:

Simplifying
2m2 + 19m + 17 = 0

Reorder the terms:
17 + 19m + 2m2 = 0

Solving
17 + 19m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(17 + 2m)(1 + m) = 0

Subproblem 1
Set the factor '(17 + 2m)' equal to zero and attempt to solve:

Simplifying
17 + 2m = 0

Solving
17 + 2m = 0

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

Add '-17' to each side of the equation.
17 + -17 + 2m = 0 + -17

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

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

Divide each side by '2'.
m = -8.5

Simplifying
m = -8.5
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 = {-8.5, -1}