2m^2-15m+22=

Solution for 2m^2-15m+22= equation:

Simplifying
2m2 + -15m + 22 = 0

Reorder the terms:
22 + -15m + 2m2 = 0

Solving
22 + -15m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -1m)(11 + -2m) = 0

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

Simplifying
2 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Subproblem 2
Set the factor '(11 + -2m)' equal to zero and attempt to solve:

Simplifying
11 + -2m = 0

Solving
11 + -2m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2m = 0 + -11
-2m = 0 + -11

Combine like terms: 0 + -11 = -11
-2m = -11

Divide each side by '-2'.
m = 5.5

Simplifying
m = 5.5
Solution
m = {2, 5.5}