(9-y)(5y+6)=0

Solution for (9-y)(5y+6)=0 equation:

Simplifying
(9 + -1y)(5y + 6) = 0

Reorder the terms:
(9 + -1y)(6 + 5y) = 0

Multiply (9 + -1y) * (6 + 5y)
(9(6 + 5y) + -1y * (6 + 5y)) = 0
((6 * 9 + 5y * 9) + -1y * (6 + 5y)) = 0
((54 + 45y) + -1y * (6 + 5y)) = 0
(54 + 45y + (6 * -1y + 5y * -1y)) = 0
(54 + 45y + (-6y + -5y2)) = 0

Combine like terms: 45y + -6y = 39y
(54 + 39y + -5y2) = 0

Solving
54 + 39y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + -1y)(6 + 5y) = 0

Subproblem 1
Set the factor '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve:

Simplifying
6 + 5y = 0

Solving
6 + 5y = 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 + 5y = 0 + -6

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

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

Divide each side by '5'.
y = -1.2

Simplifying
y = -1.2
Solution
y = {9, -1.2}