(2Y-9)(Y-3)=

Solution for (2Y-9)(Y-3)= equation:

Simplifying
(2Y + -9)(Y + -3) = 0

Reorder the terms:
(-9 + 2Y)(Y + -3) = 0

Reorder the terms:
(-9 + 2Y)(-3 + Y) = 0

Multiply (-9 + 2Y) * (-3 + Y)
(-9(-3 + Y) + 2Y * (-3 + Y)) = 0
((-3 * -9 + Y * -9) + 2Y * (-3 + Y)) = 0
((27 + -9Y) + 2Y * (-3 + Y)) = 0
(27 + -9Y + (-3 * 2Y + Y * 2Y)) = 0
(27 + -9Y + (-6Y + 2Y2)) = 0

Combine like terms: -9Y + -6Y = -15Y
(27 + -15Y + 2Y2) = 0

Solving
27 + -15Y + 2Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(3 + -1Y)(9 + -2Y) = 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 + -2Y)' equal to zero and attempt to solve:

Simplifying
9 + -2Y = 0

Solving
9 + -2Y = 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 + -2Y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2Y = 0 + -9
-2Y = 0 + -9

Combine like terms: 0 + -9 = -9
-2Y = -9

Divide each side by '-2'.
Y = 4.5

Simplifying
Y = 4.5
Solution
Y = {3, 4.5}