(4x-6y+9)(-xy)=

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Solution for (4x-6y+9)(-xy)= equation: 


Simplifying
(4x + -6y + 9)(-1xy) = 0

Reorder the terms:
(9 + 4x + -6y)(-1xy) = 0

Remove parenthesis around (-1xy)
(9 + 4x + -6y) * -1xy = 0

Reorder the terms for easier multiplication:
-1xy(9 + 4x + -6y) = 0
(9 * -1xy + 4x * -1xy + -6y * -1xy) = 0

Reorder the terms:
(-9xy + 6xy2 + -4x2y) = 0
(-9xy + 6xy2 + -4x2y) = 0

Solving
-9xy + 6xy2 + -4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-9 + 6y + -4x) = 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 + 6y + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + 6y + -4x = 0

Reorder the terms:
-9 + -4x + 6y = 0

Solving
-9 + -4x + 6y = 0

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

Add '9' to each side of the equation.
-9 + -4x + 9 + 6y = 0 + 9

Reorder the terms:
-9 + 9 + -4x + 6y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4x + 6y = 0 + 9
-4x + 6y = 0 + 9

Combine like terms: 0 + 9 = 9
-4x + 6y = 9

Add '-6y' to each side of the equation.
-4x + 6y + -6y = 9 + -6y

Combine like terms: 6y + -6y = 0
-4x + 0 = 9 + -6y
-4x = 9 + -6y

Divide each side by '-4'.
x = -2.25 + 1.5y

Simplifying
x = -2.25 + 1.5y
Solution
x = {-2.25 + 1.5y}

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