7m^2-6m-45=0

Solution for 7m^2-6m-45=0 equation:

Simplifying
7m2 + -6m + -45 = 0

Reorder the terms:
-45 + -6m + 7m2 = 0

Solving
-45 + -6m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-15 + -7m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-15 + -7m)' equal to zero and attempt to solve:

Simplifying
-15 + -7m = 0

Solving
-15 + -7m = 0

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

Add '15' to each side of the equation.
-15 + 15 + -7m = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -7m = 0 + 15
-7m = 0 + 15

Combine like terms: 0 + 15 = 15
-7m = 15

Divide each side by '-7'.
m = -2.142857143

Simplifying
m = -2.142857143
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-2.142857143, 3}