14y-3-8y^2=0

Solution for 14y-3-8y^2=0 equation:

Simplifying
14y + -3 + -8y2 = 0

Reorder the terms:
-3 + 14y + -8y2 = 0

Solving
-3 + 14y + -8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + 2y)(1 + -4y) = 0

Subproblem 1
Set the factor '(-3 + 2y)' equal to zero and attempt to solve:

Simplifying
-3 + 2y = 0

Solving
-3 + 2y = 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 + 2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 0 + 3
2y = 0 + 3

Combine like terms: 0 + 3 = 3
2y = 3

Divide each side by '2'.
y = 1.5

Simplifying
y = 1.5
Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 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 + -4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 0 + -1
-4y = 0 + -1

Combine like terms: 0 + -1 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25
Solution
y = {1.5, 0.25}