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Simplifying 2xy2(2 + -1x + -1x2y) = 0 (2 * 2xy2 + -1x * 2xy2 + -1x2y * 2xy2) = 0 (4xy2 + -2x2y2 + -2x3y3) = 0 Solving 4xy2 + -2x2y2 + -2x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy2'. 2xy2(2 + -1x + -1x2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 0 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 '(2 + -1x + -1x2y)' equal to zero and attempt to solve: Simplifying 2 + -1x + -1x2y = 0 Solving 2 + -1x + -1x2y = 0 Begin completing the square. Divide all terms by -1y the coefficient of the squared term: Divide each side by '-1y'. -2y-1 + xy-1 + x2 = 0y-1 Move the constant term to the right: Add '2' to each side of the equation. -2y-1 + xy-1 + 2 + x2 = 2 + 0y-1 Reorder the terms: 2 + xy-1 + x2 + -2y-1 = 2 + 0y-1 Combine like terms: 2 + 0 = 2 2 + xy-1 + x2 + -2y-1 = 2 The x term is xy-1. Take half its coefficient (0.5y-1). Square it (0.25y-2) and add it to both sides. Add '0.25y-2' to each side of the equation. 2 + y-2 + x2 + 0.25y-2 + -2y-1 = 2 + 0.25y-2 Reorder the terms: 2 + x2 + y-2 + 0.25y-2 + -2y-1 = 2 + 0.25y-2 Combine like terms: y-2 + 0.25y-2 = 1.25y-2 2 + x2 + 1.25y-2 + -2y-1 = 2 + 0.25y-2 Factor a perfect square on the left side: (x + 0.5y-1)(x + 0.5y-1) = 2 + 0.25y-2 Can't calculate square root of the right side. 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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