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Simplifying 2xy2(3xy2 + -3xy + 3x) = 0 Reorder the terms: 2xy2(3x + -3xy + 3xy2) = 0 (3x * 2xy2 + -3xy * 2xy2 + 3xy2 * 2xy2) = 0 (6x2y2 + -6x2y3 + 6x2y4) = 0 Solving 6x2y2 + -6x2y3 + 6x2y4 = 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), '6x2y2'. 6x2y2(1 + -1y + y2) = 0 Ignore the factor 6.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 '(1 + -1y + y2)' equal to zero and attempt to solve: Simplifying 1 + -1y + y2 = 0 Solving 1 + -1y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -1y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y + y2 = 0 + -1 -1y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1y + y2 = -1 Add 'y' to each side of the equation. -1y + y + y2 = -1 + y Combine like terms: -1y + y = 0 0 + y2 = -1 + y y2 = -1 + y Add '-1y2' to each side of the equation. y2 + -1y2 = -1 + y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1 + y + -1y2 Simplifying 0 = -1 + y + -1y2 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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