y(4x-9)=y-16x

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Solution for y(4x-9)=y-16x equation:


Simplifying
y(4x + -9) = y + -16x

Reorder the terms:
y(-9 + 4x) = y + -16x
(-9 * y + 4x * y) = y + -16x

Reorder the terms:
(4xy + -9y) = y + -16x
(4xy + -9y) = y + -16x

Reorder the terms:
4xy + -9y = -16x + y

Solving
4xy + -9y = -16x + y

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
4xy + 16x + -9y = -16x + 16x + y

Reorder the terms:
16x + 4xy + -9y = -16x + 16x + y

Combine like terms: -16x + 16x = 0
16x + 4xy + -9y = 0 + y
16x + 4xy + -9y = y

Add '9y' to each side of the equation.
16x + 4xy + -9y + 9y = y + 9y

Combine like terms: -9y + 9y = 0
16x + 4xy + 0 = y + 9y
16x + 4xy = y + 9y

Combine like terms: y + 9y = 10y
16x + 4xy = 10y

Combine like terms: 10y + -10y = 0
16x + 4xy + -10y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8x + 2xy + -5y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(8x + 2xy + -5y)' equal to zero and attempt to solve: Simplifying 8x + 2xy + -5y = 0 Solving 8x + 2xy + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 8x + 2xy + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 8x + 2xy + 0 = 0 + 5y 8x + 2xy = 0 + 5y Remove the zero: 8x + 2xy = 5y 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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