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Simplifying 0 = xy2 + xy + 2 Reorder the terms: 0 = 2 + xy + xy2 Solving 0 = 2 + xy + xy2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xy' to each side of the equation. 0 + -1xy = 2 + xy + -1xy + xy2 Remove the zero: -1xy = 2 + xy + -1xy + xy2 Combine like terms: xy + -1xy = 0 -1xy = 2 + 0 + xy2 -1xy = 2 + xy2 Add '-1xy2' to each side of the equation. -1xy + -1xy2 = 2 + xy2 + -1xy2 Combine like terms: xy2 + -1xy2 = 0 -1xy + -1xy2 = 2 + 0 -1xy + -1xy2 = 2 Reorder the terms: -2 + -1xy + -1xy2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -1xy + -1xy2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + xy + xy2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + xy + xy2)' equal to zero and attempt to solve: Simplifying 2 + xy + xy2 = 0 Solving 2 + xy + xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + xy + -2 + xy2 = 0 + -2 Reorder the terms: 2 + -2 + xy + xy2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy + xy2 = 0 + -2 xy + xy2 = 0 + -2 Combine like terms: 0 + -2 = -2 xy + xy2 = -2 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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