3m^2-19m+16=0

Solution for 3m^2-19m+16=0 equation:

Simplifying
3m2 + -19m + 16 = 0

Reorder the terms:
16 + -19m + 3m2 = 0

Solving
16 + -19m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(16 + -3m) = 0

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

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
Subproblem 2
Set the factor '(16 + -3m)' equal to zero and attempt to solve:

Simplifying
16 + -3m = 0

Solving
16 + -3m = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3m = 0 + -16
-3m = 0 + -16

Combine like terms: 0 + -16 = -16
-3m = -16

Divide each side by '-3'.
m = 5.333333333

Simplifying
m = 5.333333333
Solution
m = {1, 5.333333333}