(y-9)(y-2)=

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

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

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

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

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

Combine like terms: -9y + -2y = -11y
(18 + -11y + y2) = 0

Solving
18 + -11y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -1y)(9 + -1y) = 0

Subproblem 1
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
Subproblem 2
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
Solution
y = {2, 9}