6m^2-7m-149=-6

Solution for 6m^2-7m-149=-6 equation:

Simplifying
6m2 + -7m + -149 = -6

Reorder the terms:
-149 + -7m + 6m2 = -6

Solving
-149 + -7m + 6m2 = -6

Solving for variable 'm'.

Reorder the terms:
-149 + 6 + -7m + 6m2 = -6 + 6

Combine like terms: -149 + 6 = -143
-143 + -7m + 6m2 = -6 + 6

Combine like terms: -6 + 6 = 0
-143 + -7m + 6m2 = 0

Factor a trinomial.
(-13 + -3m)(11 + -2m) = 0

Subproblem 1
Set the factor '(-13 + -3m)' equal to zero and attempt to solve:

Simplifying
-13 + -3m = 0

Solving
-13 + -3m = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3m = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3m = 0 + 13
-3m = 0 + 13

Combine like terms: 0 + 13 = 13
-3m = 13

Divide each side by '-3'.
m = -4.333333333

Simplifying
m = -4.333333333
Subproblem 2
Set the factor '(11 + -2m)' equal to zero and attempt to solve:

Simplifying
11 + -2m = 0

Solving
11 + -2m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2m = 0 + -11
-2m = 0 + -11

Combine like terms: 0 + -11 = -11
-2m = -11

Divide each side by '-2'.
m = 5.5

Simplifying
m = 5.5
Solution
m = {-4.333333333, 5.5}