6m^2-5m-123=2

Solution for 6m^2-5m-123=2 equation:

Simplifying
6m2 + -5m + -123 = 2

Reorder the terms:
-123 + -5m + 6m2 = 2

Solving
-123 + -5m + 6m2 = 2

Solving for variable 'm'.

Reorder the terms:
-123 + -2 + -5m + 6m2 = 2 + -2

Combine like terms: -123 + -2 = -125
-125 + -5m + 6m2 = 2 + -2

Combine like terms: 2 + -2 = 0
-125 + -5m + 6m2 = 0

Factor a trinomial.
(-25 + -6m)(5 + -1m) = 0

Subproblem 1
Set the factor '(-25 + -6m)' equal to zero and attempt to solve:

Simplifying
-25 + -6m = 0

Solving
-25 + -6m = 0

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

Add '25' to each side of the equation.
-25 + 25 + -6m = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -6m = 0 + 25
-6m = 0 + 25

Combine like terms: 0 + 25 = 25
-6m = 25

Divide each side by '-6'.
m = -4.166666667

Simplifying
m = -4.166666667
Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-4.166666667, 5}