2(x^2)y=2x(y^2)

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Solution for 2(x^2)y=2x(y^2) equation:


Simplifying
2(x2) * y = 2x(y2)

Multiply x2 * y
2x2y = 2x(y2)

Multiply x * y2
2x2y = 2xy2

Solving
2x2y = 2xy2

Solving for variable 'x'.

Reorder the terms:
-2xy2 + 2x2y = 2xy2 + -2xy2

Combine like terms: 2xy2 + -2xy2 = 0
-2xy2 + 2x2y = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

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

Solution

x = {y}

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