(y-4)(y-9)=

Solution for (y-4)(y-9)= equation:

Simplifying
(y + -4)(y + -9) = 0

Reorder the terms:
(-4 + y)(y + -9) = 0

Reorder the terms:
(-4 + y)(-9 + y) = 0

Multiply (-4 + y) * (-9 + y)
(-4(-9 + y) + y(-9 + y)) = 0
((-9 * -4 + y * -4) + y(-9 + y)) = 0
((36 + -4y) + y(-9 + y)) = 0
(36 + -4y + (-9 * y + y * y)) = 0
(36 + -4y + (-9y + y2)) = 0

Combine like terms: -4y + -9y = -13y
(36 + -13y + y2) = 0

Solving
36 + -13y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -1y)(9 + -1y) = 0

Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
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 = {4, 9}