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Simplifying x2(y) + (y2) + 4 = 0 Multiply x2 * y x2y + (y2) + 4 = 0 x2y + y2 + 4 = 0 Reorder the terms: 4 + x2y + y2 = 0 Solving 4 + x2y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x2y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + x2y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2y + y2 = 0 + -4 x2y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2y + y2 = -4 Add '-1y2' to each side of the equation. x2y + y2 + -1y2 = -4 + -1y2 Combine like terms: y2 + -1y2 = 0 x2y + 0 = -4 + -1y2 x2y = -4 + -1y2 Divide each side by 'y'. x2 = -4y-1 + -1y Simplifying x2 = -4y-1 + -1y Reorder the terms: x2 + 4y-1 + y = -4y-1 + 4y-1 + -1y + y Combine like terms: -4y-1 + 4y-1 = 0 x2 + 4y-1 + y = 0 + -1y + y x2 + 4y-1 + y = -1y + y Combine like terms: -1y + y = 0 x2 + 4y-1 + y = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + 4 + y2) = 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 + 4 + y2)' equal to zero and attempt to solve: Simplifying x2y + 4 + y2 = 0 Reorder the terms: 4 + x2y + y2 = 0 Solving 4 + x2y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x2y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + x2y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2y + y2 = 0 + -4 x2y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2y + y2 = -4 Add '-1y2' to each side of the equation. x2y + y2 + -1y2 = -4 + -1y2 Combine like terms: y2 + -1y2 = 0 x2y + 0 = -4 + -1y2 x2y = -4 + -1y2 Divide each side by 'y'. x2 = -4y-1 + -1y Simplifying x2 = -4y-1 + -1y 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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