(y-9)(y-3)=

Solution for (y-9)(y-3)= equation:

Simplifying
(y + -9)(y + -3) = 0

Reorder the terms:
(-9 + y)(y + -3) = 0

Reorder the terms:
(-9 + y)(-3 + y) = 0

Multiply (-9 + y) * (-3 + y)
(-9(-3 + y) + y(-3 + y)) = 0
((-3 * -9 + y * -9) + y(-3 + y)) = 0
((27 + -9y) + y(-3 + y)) = 0
(27 + -9y + (-3 * y + y * y)) = 0
(27 + -9y + (-3y + y2)) = 0

Combine like terms: -9y + -3y = -12y
(27 + -12y + y2) = 0

Solving
27 + -12y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -1y)(9 + -1y) = 0

Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
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 = {3, 9}