5xy+3x-xy-5x+2xy=

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Solution for 5xy+3x-xy-5x+2xy= equation:


Simplifying
5xy + 3x + -1xy + -5x + 2xy = 0

Reorder the terms:
3x + -5x + 5xy + -1xy + 2xy = 0

Combine like terms: 3x + -5x = -2x
-2x + 5xy + -1xy + 2xy = 0

Combine like terms: 5xy + -1xy = 4xy
-2x + 4xy + 2xy = 0

Combine like terms: 4xy + 2xy = 6xy
-2x + 6xy = 0

Solving
-2x + 6xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + 3y) = 0

Ignore the factor 2.

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 '(-1 + 3y)' equal to zero and attempt to solve: Simplifying -1 + 3y = 0 Solving -1 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = 0 + 1 3y = 0 + 1 Combine like terms: 0 + 1 = 1 3y = 1 Add '-3y' to each side of the equation. 3y + -3y = 1 + -3y Combine like terms: 3y + -3y = 0 0 = 1 + -3y Simplifying 0 = 1 + -3y 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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