2m^2-31m-16=0

Solution for 2m^2-31m-16=0 equation:

Simplifying
2m2 + -31m + -16 = 0

Reorder the terms:
-16 + -31m + 2m2 = 0

Solving
-16 + -31m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -2m)(16 + -1m) = 0

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(16 + -1m)' equal to zero and attempt to solve:

Simplifying
16 + -1m = 0

Solving
16 + -1m = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1m = 0 + -16
-1m = 0 + -16

Combine like terms: 0 + -16 = -16
-1m = -16

Divide each side by '-1'.
m = 16

Simplifying
m = 16
Solution
m = {-0.5, 16}