10m^2-38m+24=0

Solution for 10m^2-38m+24=0 equation:

Simplifying
10m2 + -38m + 24 = 0

Reorder the terms:
24 + -38m + 10m2 = 0

Solving
24 + -38m + 10m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -19m + 5m2) = 0

Factor a trinomial.
2((4 + -5m)(3 + -1m)) = 0

Ignore the factor 2.
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 '(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 = {0.8, 3}