-16m^2+24m-5=0

Solution for -16m^2+24m-5=0 equation:

Simplifying
-16m2 + 24m + -5 = 0

Reorder the terms:
-5 + 24m + -16m2 = 0

Solving
-5 + 24m + -16m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-5 + 4m = 0

Solving
-5 + 4m = 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 + 4m = 0 + 5

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

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

Divide each side by '4'.
m = 1.25

Simplifying
m = 1.25
Subproblem 2
Set the factor '(1 + -4m)' equal to zero and attempt to solve:

Simplifying
1 + -4m = 0

Solving
1 + -4m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4m = 0 + -1
-4m = 0 + -1

Combine like terms: 0 + -1 = -1
-4m = -1

Divide each side by '-4'.
m = 0.25

Simplifying
m = 0.25
Solution
m = {1.25, 0.25}