2xy+3xy-xy=x(y-2x)

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Solution for 2xy+3xy-xy=x(y-2x) equation: 


Simplifying
2xy + 3xy + -1xy = x(y + -2x)

Combine like terms: 2xy + 3xy = 5xy
5xy + -1xy = x(y + -2x)

Combine like terms: 5xy + -1xy = 4xy
4xy = x(y + -2x)

Reorder the terms:
4xy = x(-2x + y)
4xy = (-2x * x + y * x)

Reorder the terms:
4xy = (xy + -2x2)
4xy = (xy + -2x2)

Solving
4xy = xy + -2x2

Solving for variable 'x'.

Combine like terms: 4xy + -1xy = 3xy
3xy + 2x2 = xy + -2x2 + -1xy + 2x2

Reorder the terms:
3xy + 2x2 = xy + -1xy + -2x2 + 2x2

Combine like terms: xy + -1xy = 0
3xy + 2x2 = 0 + -2x2 + 2x2
3xy + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3xy + 2x2 = 0

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


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 '(3y + 2x)' equal to zero and attempt to solve:

Simplifying
3y + 2x = 0

Reorder the terms:
2x + 3y = 0

Solving
2x + 3y = 0

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

Add '-3y' to each side of the equation.
2x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 0 + -3y
2x = 0 + -3y
Remove the zero:
2x = -3y

Divide each side by '2'.
x = -1.5y

Simplifying
x = -1.5y
Solution
x = {0, -1.5y}

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