(5y-9)(1-y)=0

Solution for (5y-9)(1-y)=0 equation:

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

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

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

Combine like terms: 9y + 5y = 14y
(-9 + 14y + -5y2) = 0

Solving
-9 + 14y + -5y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(-9 + 5y)' equal to zero and attempt to solve:

Simplifying
-9 + 5y = 0

Solving
-9 + 5y = 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 + 5y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5y = 0 + 9
5y = 0 + 9

Combine like terms: 0 + 9 = 9
5y = 9

Divide each side by '5'.
y = 1.8

Simplifying
y = 1.8
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

Simplifying
y = 1
Solution
y = {1.8, 1}