3m^2+7m-66=0

Solution for 3m^2+7m-66=0 equation:

Simplifying
3m2 + 7m + -66 = 0

Reorder the terms:
-66 + 7m + 3m2 = 0

Solving
-66 + 7m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-6 + -1m)(11 + -3m) = 0

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

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 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 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(11 + -3m)' equal to zero and attempt to solve:

Simplifying
11 + -3m = 0

Solving
11 + -3m = 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 + -3m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3m = 0 + -11
-3m = 0 + -11

Combine like terms: 0 + -11 = -11
-3m = -11

Divide each side by '-3'.
m = 3.666666667

Simplifying
m = 3.666666667
Solution
m = {-6, 3.666666667}