4(9-y)xy+4y=36

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Solution for 4(9-y)xy+4y=36 equation:


Simplifying
4(9 + -1y) * xy + 4y = 36

Reorder the terms for easier multiplication:
4xy(9 + -1y) + 4y = 36
(9 * 4xy + -1y * 4xy) + 4y = 36
(36xy + -4xy2) + 4y = 36

Solving
36xy + -4xy2 + 4y = 36

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
36xy + -4xy2 + 4y + -4y = 36 + -4y

Combine like terms: 4y + -4y = 0
36xy + -4xy2 + 0 = 36 + -4y
36xy + -4xy2 = 36 + -4y

Reorder the terms:
-36 + 36xy + -4xy2 + 4y = 36 + -4y + -36 + 4y

Reorder the terms:
-36 + 36xy + -4xy2 + 4y = 36 + -36 + -4y + 4y

Combine like terms: 36 + -36 = 0
-36 + 36xy + -4xy2 + 4y = 0 + -4y + 4y
-36 + 36xy + -4xy2 + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
-36 + 36xy + -4xy2 + 4y = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + 9xy + -1xy2 + y) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-9 + 9xy + -1xy2 + y)' equal to zero and attempt to solve: Simplifying -9 + 9xy + -1xy2 + y = 0 Solving -9 + 9xy + -1xy2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9xy + -1xy2 + 9 + y = 0 + 9 Reorder the terms: -9 + 9 + 9xy + -1xy2 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9xy + -1xy2 + y = 0 + 9 9xy + -1xy2 + y = 0 + 9 Combine like terms: 0 + 9 = 9 9xy + -1xy2 + y = 9 Add '-1y' to each side of the equation. 9xy + -1xy2 + y + -1y = 9 + -1y Combine like terms: y + -1y = 0 9xy + -1xy2 + 0 = 9 + -1y 9xy + -1xy2 = 9 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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