3m^2-14m+11=0

Solution for 3m^2-14m+11=0 equation:

Simplifying
3m2 + -14m + 11 = 0

Reorder the terms:
11 + -14m + 3m2 = 0

Solving
11 + -14m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(11 + -3m) = 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 + -3m)' equal to zero and attempt to solve:

Simplifying
11 + -3m = 0

Solving
11 + -3m = 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 + -3m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3m = 0 + -11
-3m = 0 + -11

Combine like terms: 0 + -11 = -11
-3m = -11

Divide each side by '-3'.
m = 3.666666667

Simplifying
m = 3.666666667
Solution
m = {1, 3.666666667}