19=6m^2-13m

Solution for 19=6m^2-13m equation:

Simplifying
19 = 6m2 + -13m

Reorder the terms:
19 = -13m + 6m2

Solving
19 = -13m + 6m2

Solving for variable 'm'.

Reorder the terms:
19 + 13m + -6m2 = -13m + 13m + 6m2 + -6m2

Combine like terms: -13m + 13m = 0
19 + 13m + -6m2 = 0 + 6m2 + -6m2
19 + 13m + -6m2 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
19 + 13m + -6m2 = 0

Factor a trinomial.
(19 + -6m)(1 + m) = 0

Subproblem 1
Set the factor '(19 + -6m)' equal to zero and attempt to solve:

Simplifying
19 + -6m = 0

Solving
19 + -6m = 0

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

Add '-19' to each side of the equation.
19 + -19 + -6m = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -6m = 0 + -19
-6m = 0 + -19

Combine like terms: 0 + -19 = -19
-6m = -19

Divide each side by '-6'.
m = 3.166666667

Simplifying
m = 3.166666667
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 = {3.166666667, -1}