6m^2-13m=19

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

Simplifying
6m2 + -13m = 19

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

Solving
-13m + 6m2 = 19

Solving for variable 'm'.

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

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

Factor a trinomial.
(-1 + -1m)(19 + -6m) = 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 '(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
Solution
m = {-1, 3.166666667}