84m^2-23m-42=0

Solution for 84m^2-23m-42=0 equation:

Simplifying
84m2 + -23m + -42 = 0

Reorder the terms:
-42 + -23m + 84m2 = 0

Solving
-42 + -23m + 84m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -12m)(6 + -7m) = 0

Subproblem 1
Set the factor '(-7 + -12m)' equal to zero and attempt to solve:

Simplifying
-7 + -12m = 0

Solving
-7 + -12m = 0

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

Add '7' to each side of the equation.
-7 + 7 + -12m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -12m = 0 + 7
-12m = 0 + 7

Combine like terms: 0 + 7 = 7
-12m = 7

Divide each side by '-12'.
m = -0.5833333333

Simplifying
m = -0.5833333333
Subproblem 2
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
Solution
m = {-0.5833333333, 0.8571428571}