9y^2-23y+14=

Solution for 9y^2-23y+14= equation:

Simplifying
9y2 + -23y + 14 = 0

Reorder the terms:
14 + -23y + 9y2 = 0

Solving
14 + -23y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(14 + -9y) = 0

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

Simplifying
1 + -1y = 0

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

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

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

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

Simplifying
y = 1
Subproblem 2
Set the factor '(14 + -9y)' equal to zero and attempt to solve:

Simplifying
14 + -9y = 0

Solving
14 + -9y = 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 + -9y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -9y = 0 + -14
-9y = 0 + -14

Combine like terms: 0 + -14 = -14
-9y = -14

Divide each side by '-9'.
y = 1.555555556

Simplifying
y = 1.555555556
Solution
y = {1, 1.555555556}