16m^2+40m=24

Solution for 16m^2+40m=24 equation:

Simplifying
16m2 + 40m = 24

Reorder the terms:
40m + 16m2 = 24

Solving
40m + 16m2 = 24

Solving for variable 'm'.

Reorder the terms:
-24 + 40m + 16m2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 40m + 16m2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-3 + 5m + 2m2) = 0

Factor a trinomial.
8((-3 + -1m)(1 + -2m)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -2m)' equal to zero and attempt to solve:

Simplifying
1 + -2m = 0

Solving
1 + -2m = 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 + -2m = 0 + -1

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

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

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Solution
m = {-3, 0.5}