16y^2=20y-6

Solution for 16y^2=20y-6 equation:

Simplifying
16y2 = 20y + -6

Reorder the terms:
16y2 = -6 + 20y

Solving
16y2 = -6 + 20y

Solving for variable 'y'.

Reorder the terms:
6 + -20y + 16y2 = -6 + 20y + 6 + -20y

Reorder the terms:
6 + -20y + 16y2 = -6 + 6 + 20y + -20y

Combine like terms: -6 + 6 = 0
6 + -20y + 16y2 = 0 + 20y + -20y
6 + -20y + 16y2 = 20y + -20y

Combine like terms: 20y + -20y = 0
6 + -20y + 16y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -10y + 8y2) = 0

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

Ignore the factor 2.
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 '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 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 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {0.5, 0.75}