7m^2-19m-6=0

Solution for 7m^2-19m-6=0 equation:

Simplifying
7m2 + -19m + -6 = 0

Reorder the terms:
-6 + -19m + 7m2 = 0

Solving
-6 + -19m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + -7m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-2 + -7m)' equal to zero and attempt to solve:

Simplifying
-2 + -7m = 0

Solving
-2 + -7m = 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 + -7m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7m = 0 + 2
-7m = 0 + 2

Combine like terms: 0 + 2 = 2
-7m = 2

Divide each side by '-7'.
m = -0.2857142857

Simplifying
m = -0.2857142857
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-0.2857142857, 3}