6y^2-23y+15=0

Solution for 6y^2-23y+15=0 equation:

Simplifying
6y2 + -23y + 15 = 0

Reorder the terms:
15 + -23y + 6y2 = 0

Solving
15 + -23y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -6y)(3 + -1y) = 0

Subproblem 1
Set the factor '(5 + -6y)' equal to zero and attempt to solve:

Simplifying
5 + -6y = 0

Solving
5 + -6y = 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 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6y = 0 + -5
-6y = 0 + -5

Combine like terms: 0 + -5 = -5
-6y = -5

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333
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 = {0.8333333333, 3}