5m^2-38m+48=0

Solution for 5m^2-38m+48=0 equation:

Simplifying
5m2 + -38m + 48 = 0

Reorder the terms:
48 + -38m + 5m2 = 0

Solving
48 + -38m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + -5m)(6 + -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 '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {1.6, 6}