2xy-3x=3x+9xy

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Solution for 2xy-3x=3x+9xy equation:


Simplifying
2xy + -3x = 3x + 9xy

Reorder the terms:
-3x + 2xy = 3x + 9xy

Solving
-3x + 2xy = 3x + 9xy

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3x + -3x + 2xy = 3x + -3x + 9xy

Combine like terms: -3x + -3x = -6x
-6x + 2xy = 3x + -3x + 9xy

Combine like terms: 3x + -3x = 0
-6x + 2xy = 0 + 9xy
-6x + 2xy = 9xy

Add '-9xy' to each side of the equation.
-6x + 2xy + -9xy = 9xy + -9xy

Combine like terms: 2xy + -9xy = -7xy
-6x + -7xy = 9xy + -9xy

Combine like terms: 9xy + -9xy = 0
-6x + -7xy = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(6 + 7y) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(6 + 7y)' equal to zero and attempt to solve: Simplifying 6 + 7y = 0 Solving 6 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7y = 0 + -6 7y = 0 + -6 Combine like terms: 0 + -6 = -6 7y = -6 Add '-7y' to each side of the equation. 7y + -7y = -6 + -7y Combine like terms: 7y + -7y = 0 0 = -6 + -7y Simplifying 0 = -6 + -7y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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