6y^2-19y+3=0

Solution for 6y^2-19y+3=0 equation:

Simplifying
6y2 + -19y + 3 = 0

Reorder the terms:
3 + -19y + 6y2 = 0

Solving
3 + -19y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -6y)(3 + -1y) = 0

Subproblem 1
Set the factor '(1 + -6y)' equal to zero and attempt to solve:

Simplifying
1 + -6y = 0

Solving
1 + -6y = 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 + -6y = 0 + -1

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

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

Divide each side by '-6'.
y = 0.1666666667

Simplifying
y = 0.1666666667
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {0.1666666667, 3}