3y-xy=12x-4xy

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Solution for 3y-xy=12x-4xy equation:


Simplifying
3y + -1xy = 12x + -4xy

Reorder the terms:
-1xy + 3y = 12x + -4xy

Solving
-1xy + 3y = 12x + -4xy

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-1xy + -12x + 3y = 12x + -12x + -4xy

Reorder the terms:
-12x + -1xy + 3y = 12x + -12x + -4xy

Combine like terms: 12x + -12x = 0
-12x + -1xy + 3y = 0 + -4xy
-12x + -1xy + 3y = -4xy

Add '4xy' to each side of the equation.
-12x + -1xy + 4xy + 3y = -4xy + 4xy

Combine like terms: -1xy + 4xy = 3xy
-12x + 3xy + 3y = -4xy + 4xy

Combine like terms: -4xy + 4xy = 0
-12x + 3xy + 3y = 0

Add '-3y' to each side of the equation.
-12x + 3xy + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-12x + 3xy + 0 = 0 + -3y
-12x + 3xy = 0 + -3y
Remove the zero:
-12x + 3xy = -3y

Combine like terms: -3y + 3y = 0
-12x + 3xy + 3y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4x + xy + y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4x + xy + y)' equal to zero and attempt to solve: Simplifying -4x + xy + y = 0 Solving -4x + xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -4x + xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -4x + xy + 0 = 0 + -1y -4x + xy = 0 + -1y Remove the zero: -4x + xy = -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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