6y^2-31y+14=

Solution for 6y^2-31y+14= equation:

Simplifying
6y2 + -31y + 14 = 0

Reorder the terms:
14 + -31y + 6y2 = 0

Solving
14 + -31y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -2y)(14 + -3y) = 0

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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Subproblem 2
Set the factor '(14 + -3y)' equal to zero and attempt to solve:

Simplifying
14 + -3y = 0

Solving
14 + -3y = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3y = 0 + -14
-3y = 0 + -14

Combine like terms: 0 + -14 = -14
-3y = -14

Divide each side by '-3'.
y = 4.666666667

Simplifying
y = 4.666666667
Solution
y = {0.5, 4.666666667}