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Simplifying x2y2 + -6y + 9 = 0 Reorder the terms: 9 + x2y2 + -6y = 0 Solving 9 + x2y2 + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + x2y2 + -9 + -6y = 0 + -9 Reorder the terms: 9 + -9 + x2y2 + -6y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2y2 + -6y = 0 + -9 x2y2 + -6y = 0 + -9 Combine like terms: 0 + -9 = -9 x2y2 + -6y = -9 Add '6y' to each side of the equation. x2y2 + -6y + 6y = -9 + 6y Combine like terms: -6y + 6y = 0 x2y2 + 0 = -9 + 6y x2y2 = -9 + 6y Divide each side by 'y2'. x2 = -9y-2 + 6y-1 Simplifying x2 = -9y-2 + 6y-1 Reorder the terms: x2 + 9y-2 + -6y-1 = -9y-2 + 9y-2 + 6y-1 + -6y-1 Combine like terms: -9y-2 + 9y-2 = 0 x2 + 9y-2 + -6y-1 = 0 + 6y-1 + -6y-1 x2 + 9y-2 + -6y-1 = 6y-1 + -6y-1 Combine like terms: 6y-1 + -6y-1 = 0 x2 + 9y-2 + -6y-1 = 0 Factor out the Greatest Common Factor (GCF), 'y-2'. y-2(x2y2 + 9 + -6y) = 0 Factor a trinomial. y-2((xy + -3)(xy + -3)) = 0Subproblem 1
Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(xy + -3)' equal to zero and attempt to solve: Simplifying xy + -3 = 0 Reorder the terms: -3 + xy = 0 Solving -3 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + xy = 0 + 3 xy = 0 + 3 Combine like terms: 0 + 3 = 3 xy = 3 Divide each side by 'y'. x = 3y-1 Simplifying x = 3y-1Subproblem 3
Set the factor '(xy + -3)' equal to zero and attempt to solve: Simplifying xy + -3 = 0 Reorder the terms: -3 + xy = 0 Solving -3 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + xy = 0 + 3 xy = 0 + 3 Combine like terms: 0 + 3 = 3 xy = 3 Divide each side by 'y'. x = 3y-1 Simplifying x = 3y-1Solution
x = {3y-1, 3y-1}
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