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

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Solution for (8-y)(2y-9)=0 equation: 


Simplifying
(8 + -1y)(2y + -9) = 0

Reorder the terms:
(8 + -1y)(-9 + 2y) = 0

Multiply (8 + -1y) * (-9 + 2y)
(8(-9 + 2y) + -1y * (-9 + 2y)) = 0
((-9 * 8 + 2y * 8) + -1y * (-9 + 2y)) = 0
((-72 + 16y) + -1y * (-9 + 2y)) = 0
(-72 + 16y + (-9 * -1y + 2y * -1y)) = 0
(-72 + 16y + (9y + -2y2)) = 0

Combine like terms: 16y + 9y = 25y
(-72 + 25y + -2y2) = 0

Solving
-72 + 25y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + y)(9 + -2y) = 0


Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

Solving
-8 + y = 0

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

Add '8' to each side of the equation.
-8 + 8 + y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + y = 0 + 8
y = 0 + 8

Combine like terms: 0 + 8 = 8
y = 8

Simplifying
y = 8

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 = {8, 4.5}

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