(y-2)(5y-9)=0

Solution for (y-2)(5y-9)=0 equation:

Simplifying
(y + -2)(5y + -9) = 0

Reorder the terms:
(-2 + y)(5y + -9) = 0

Reorder the terms:
(-2 + y)(-9 + 5y) = 0

Multiply (-2 + y) * (-9 + 5y)
(-2(-9 + 5y) + y(-9 + 5y)) = 0
((-9 * -2 + 5y * -2) + y(-9 + 5y)) = 0
((18 + -10y) + y(-9 + 5y)) = 0
(18 + -10y + (-9 * y + 5y * y)) = 0
(18 + -10y + (-9y + 5y2)) = 0

Combine like terms: -10y + -9y = -19y
(18 + -19y + 5y2) = 0

Solving
18 + -19y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + -5y)(2 + -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 '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {1.8, 2}