14y^2-36y+16=0

Solution for 14y^2-36y+16=0 equation:

Simplifying
14y2 + -36y + 16 = 0

Reorder the terms:
16 + -36y + 14y2 = 0

Solving
16 + -36y + 14y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -18y + 7y2) = 0

Factor a trinomial.
2((4 + -7y)(2 + -1y)) = 0

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {0.5714285714, 2}