14y^2-15y+4=0

Solution for 14y^2-15y+4=0 equation:

Simplifying
14y2 + -15y + 4 = 0

Reorder the terms:
4 + -15y + 14y2 = 0

Solving
4 + -15y + 14y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -2y)(4 + -7y) = 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 '(4 + -7y)' equal to zero and attempt to solve:

Simplifying
4 + -7y = 0

Solving
4 + -7y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7y = 0 + -4
-7y = 0 + -4

Combine like terms: 0 + -4 = -4
-7y = -4

Divide each side by '-7'.
y = 0.5714285714

Simplifying
y = 0.5714285714
Solution
y = {0.5, 0.5714285714}