5m^2-6m-8=0

Solution for 5m^2-6m-8=0 equation:

Simplifying
5m2 + -6m + -8 = 0

Reorder the terms:
-8 + -6m + 5m2 = 0

Solving
-8 + -6m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -5m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-4 + -5m)' equal to zero and attempt to solve:

Simplifying
-4 + -5m = 0

Solving
-4 + -5m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5m = 0 + 4
-5m = 0 + 4

Combine like terms: 0 + 4 = 4
-5m = 4

Divide each side by '-5'.
m = -0.8

Simplifying
m = -0.8
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-0.8, 2}