2m^2-13m+11=0

Solution for 2m^2-13m+11=0 equation:

Simplifying
2m2 + -13m + 11 = 0

Reorder the terms:
11 + -13m + 2m2 = 0

Solving
11 + -13m + 2m2 = 0

Solving for variable 'm'.

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

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

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
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 = {1, 5.5}