9+18y-16y^2=0

Solution for 9+18y-16y^2=0 equation:

Simplifying
9 + 18y + -16y2 = 0

Solving
9 + 18y + -16y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -2y)(3 + 8y) = 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 '(3 + 8y)' equal to zero and attempt to solve:

Simplifying
3 + 8y = 0

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

Combine like terms: 3 + -3 = 0
0 + 8y = 0 + -3
8y = 0 + -3

Combine like terms: 0 + -3 = -3
8y = -3

Divide each side by '8'.
y = -0.375

Simplifying
y = -0.375
Solution
y = {1.5, -0.375}