14m^2-9m-18=0

Solution for 14m^2-9m-18=0 equation:

Simplifying
14m2 + -9m + -18 = 0

Reorder the terms:
-18 + -9m + 14m2 = 0

Solving
-18 + -9m + 14m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-6 + -7m)(3 + -2m) = 0

Subproblem 1
Set the factor '(-6 + -7m)' equal to zero and attempt to solve:

Simplifying
-6 + -7m = 0

Solving
-6 + -7m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7m = 0 + 6
-7m = 0 + 6

Combine like terms: 0 + 6 = 6
-7m = 6

Divide each side by '-7'.
m = -0.8571428571

Simplifying
m = -0.8571428571
Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 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 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {-0.8571428571, 1.5}