3y^2-16y+24=19

Solution for 3y^2-16y+24=19 equation:

Simplifying
3y2 + -16y + 24 = 19

Reorder the terms:
24 + -16y + 3y2 = 19

Solving
24 + -16y + 3y2 = 19

Solving for variable 'y'.

Reorder the terms:
24 + -19 + -16y + 3y2 = 19 + -19

Combine like terms: 24 + -19 = 5
5 + -16y + 3y2 = 19 + -19

Combine like terms: 19 + -19 = 0
5 + -16y + 3y2 = 0

Factor a trinomial.
(1 + -3y)(5 + -1y) = 0

Subproblem 1
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {0.3333333333, 5}