14y^2-6=5y

Solution for 14y^2-6=5y equation:

Simplifying
14y2 + -6 = 5y

Reorder the terms:
-6 + 14y2 = 5y

Solving
-6 + 14y2 = 5y

Solving for variable 'y'.

Reorder the terms:
-6 + -5y + 14y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + -5y + 14y2 = 0

Factor a trinomial.
(-1 + -2y)(6 + -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 '(6 + -7y)' equal to zero and attempt to solve:

Simplifying
6 + -7y = 0

Solving
6 + -7y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 0 + -6
-7y = 0 + -6

Combine like terms: 0 + -6 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571
Solution
y = {-0.5, 0.8571428571}