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Simplifying -2xy3(6xy2 + 3xy + -6x) = 0 Reorder the terms: -2xy3(-6x + 3xy + 6xy2) = 0 (-6x * -2xy3 + 3xy * -2xy3 + 6xy2 * -2xy3) = 0 (12x2y3 + -6x2y4 + -12x2y5) = 0 Solving 12x2y3 + -6x2y4 + -12x2y5 = 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), '6x2y3'. 6x2y3(2 + -1y + -2y2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 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 + -1y + -2y2)' equal to zero and attempt to solve: Simplifying 2 + -1y + -2y2 = 0 Solving 2 + -1y + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1y + -2 + -2y2 = 0 + -2 Reorder the terms: 2 + -2 + -1y + -2y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y + -2y2 = 0 + -2 -1y + -2y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1y + -2y2 = -2 Add 'y' to each side of the equation. -1y + y + -2y2 = -2 + y Combine like terms: -1y + y = 0 0 + -2y2 = -2 + y -2y2 = -2 + y Add '2y2' to each side of the equation. -2y2 + 2y2 = -2 + y + 2y2 Combine like terms: -2y2 + 2y2 = 0 0 = -2 + y + 2y2 Simplifying 0 = -2 + y + 2y2 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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