5m^2-7m-24=0

Solution for 5m^2-7m-24=0 equation:

Simplifying
5m2 + -7m + -24 = 0

Reorder the terms:
-24 + -7m + 5m2 = 0

Solving
-24 + -7m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -5m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-8 + -5m)' equal to zero and attempt to solve:

Simplifying
-8 + -5m = 0

Solving
-8 + -5m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5m = 0 + 8
-5m = 0 + 8

Combine like terms: 0 + 8 = 8
-5m = 8

Divide each side by '-5'.
m = -1.6

Simplifying
m = -1.6
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 = {-1.6, 3}