(2x+8y-9)(-xy)=

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Solution for (2x+8y-9)(-xy)= equation: 


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

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

Remove parenthesis around (-1xy)
(-9 + 2x + 8y) * -1xy = 0

Reorder the terms for easier multiplication:
-1xy(-9 + 2x + 8y) = 0
(-9 * -1xy + 2x * -1xy + 8y * -1xy) = 0

Reorder the terms:
(9xy + -8xy2 + -2x2y) = 0
(9xy + -8xy2 + -2x2y) = 0

Solving
9xy + -8xy2 + -2x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(9 + -8y + -2x) = 0


Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9 + -8y + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -8y + -2x = 0

Reorder the terms:
9 + -2x + -8y = 0

Solving
9 + -2x + -8y = 0

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

Add '-9' to each side of the equation.
9 + -2x + -9 + -8y = 0 + -9

Reorder the terms:
9 + -9 + -2x + -8y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x + -8y = 0 + -9
-2x + -8y = 0 + -9

Combine like terms: 0 + -9 = -9
-2x + -8y = -9

Add '8y' to each side of the equation.
-2x + -8y + 8y = -9 + 8y

Combine like terms: -8y + 8y = 0
-2x + 0 = -9 + 8y
-2x = -9 + 8y

Divide each side by '-2'.
x = 4.5 + -4y

Simplifying
x = 4.5 + -4y
Solution
x = {4.5 + -4y}

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