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Simplifying x2y + -1y2 = 5 Solving x2y + -1y2 = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x2y + -1y2 + y2 = 5 + y2 Combine like terms: -1y2 + y2 = 0 x2y + 0 = 5 + y2 x2y = 5 + y2 Divide each side by 'y'. x2 = 5y-1 + y Simplifying x2 = 5y-1 + y Reorder the terms: x2 + -5y-1 + -1y = 5y-1 + -5y-1 + y + -1y Combine like terms: 5y-1 + -5y-1 = 0 x2 + -5y-1 + -1y = 0 + y + -1y x2 + -5y-1 + -1y = y + -1y Combine like terms: y + -1y = 0 x2 + -5y-1 + -1y = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -5 + -1y2) = 0Subproblem 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 + -5 + -1y2)' equal to zero and attempt to solve: Simplifying x2y + -5 + -1y2 = 0 Reorder the terms: -5 + x2y + -1y2 = 0 Solving -5 + x2y + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + x2y + 5 + -1y2 = 0 + 5 Reorder the terms: -5 + 5 + x2y + -1y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x2y + -1y2 = 0 + 5 x2y + -1y2 = 0 + 5 Combine like terms: 0 + 5 = 5 x2y + -1y2 = 5 Add 'y2' to each side of the equation. x2y + -1y2 + y2 = 5 + y2 Combine like terms: -1y2 + y2 = 0 x2y + 0 = 5 + y2 x2y = 5 + y2 Divide each side by 'y'. x2 = 5y-1 + y Simplifying x2 = 5y-1 + y 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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