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Simplifying -2xy2(xy2 + 4xy + -4x) = 0 Reorder the terms: -2xy2(-4x + 4xy + xy2) = 0 (-4x * -2xy2 + 4xy * -2xy2 + xy2 * -2xy2) = 0 (8x2y2 + -8x2y3 + -2x2y4) = 0 Solving 8x2y2 + -8x2y3 + -2x2y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2x2y2'. 2x2y2(4 + -4y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(4 + -4y + -1y2)' equal to zero and attempt to solve: Simplifying 4 + -4y + -1y2 = 0 Solving 4 + -4y + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4y + -4 + -1y2 = 0 + -4 Reorder the terms: 4 + -4 + -4y + -1y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4y + -1y2 = 0 + -4 -4y + -1y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -4y + -1y2 = -4 Add '4y' to each side of the equation. -4y + 4y + -1y2 = -4 + 4y Combine like terms: -4y + 4y = 0 0 + -1y2 = -4 + 4y -1y2 = -4 + 4y Add 'y2' to each side of the equation. -1y2 + y2 = -4 + 4y + y2 Combine like terms: -1y2 + y2 = 0 0 = -4 + 4y + y2 Simplifying 0 = -4 + 4y + y2 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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