x^2y^2-2y=0

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Solution for x^2y^2-2y=0 equation:


Simplifying
x2y2 + -2y = 0

Solving
x2y2 + -2y = 0

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
x2y2 + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x2y2 + 0 = 0 + 2y
x2y2 = 0 + 2y
Remove the zero:
x2y2 = 2y

Divide each side by 'y2'.
x2 = 2y-1

Simplifying
x2 = 2y-1

Combine like terms: 2y-1 + -2y-1 = 0
x2 + -2y-1 = 0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -2) = 0

Subproblem 1

Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + -2)' equal to zero and attempt to solve: Simplifying x2y + -2 = 0 Reorder the terms: -2 + x2y = 0 Solving -2 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2y = 0 + 2 x2y = 0 + 2 Combine like terms: 0 + 2 = 2 x2y = 2 Divide each side by 'y'. x2 = 2y-1 Simplifying x2 = 2y-1 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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