45m^2-56m-45=

Solution for 45m^2-56m-45= equation:

Simplifying
45m2 + -56m + -45 = 0

Reorder the terms:
-45 + -56m + 45m2 = 0

Solving
-45 + -56m + 45m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -9m)(9 + -5m) = 0

Subproblem 1
Set the factor '(-5 + -9m)' equal to zero and attempt to solve:

Simplifying
-5 + -9m = 0

Solving
-5 + -9m = 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 + -9m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9m = 0 + 5
-9m = 0 + 5

Combine like terms: 0 + 5 = 5
-9m = 5

Divide each side by '-9'.
m = -0.5555555556

Simplifying
m = -0.5555555556
Subproblem 2
Set the factor '(9 + -5m)' equal to zero and attempt to solve:

Simplifying
9 + -5m = 0

Solving
9 + -5m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5m = 0 + -9
-5m = 0 + -9

Combine like terms: 0 + -9 = -9
-5m = -9

Divide each side by '-5'.
m = 1.8

Simplifying
m = 1.8
Solution
m = {-0.5555555556, 1.8}