32y^2-22y-39=0

Solution for 32y^2-22y-39=0 equation:

Simplifying
32y2 + -22y + -39 = 0

Reorder the terms:
-39 + -22y + 32y2 = 0

Solving
-39 + -22y + 32y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-13 + -16y)(3 + -2y) = 0

Subproblem 1
Set the factor '(-13 + -16y)' equal to zero and attempt to solve:

Simplifying
-13 + -16y = 0

Solving
-13 + -16y = 0

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

Add '13' to each side of the equation.
-13 + 13 + -16y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -16y = 0 + 13
-16y = 0 + 13

Combine like terms: 0 + 13 = 13
-16y = 13

Divide each side by '-16'.
y = -0.8125

Simplifying
y = -0.8125
Subproblem 2
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
Solution
y = {-0.8125, 1.5}