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Simplifying -3xy2(6xy2 + 6xy + -3x) = 0 Reorder the terms: -3xy2(-3x + 6xy + 6xy2) = 0 (-3x * -3xy2 + 6xy * -3xy2 + 6xy2 * -3xy2) = 0 (9x2y2 + -18x2y3 + -18x2y4) = 0 Solving 9x2y2 + -18x2y3 + -18x2y4 = 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), '9x2y2'. 9x2y2(1 + -2y + -2y2) = 0 Ignore the factor 9.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 + -2y + -2y2)' equal to zero and attempt to solve: Simplifying 1 + -2y + -2y2 = 0 Solving 1 + -2y + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2y + -1 + -2y2 = 0 + -1 Reorder the terms: 1 + -1 + -2y + -2y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y + -2y2 = 0 + -1 -2y + -2y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2y + -2y2 = -1 Add '2y' to each side of the equation. -2y + 2y + -2y2 = -1 + 2y Combine like terms: -2y + 2y = 0 0 + -2y2 = -1 + 2y -2y2 = -1 + 2y Add '2y2' to each side of the equation. -2y2 + 2y2 = -1 + 2y + 2y2 Combine like terms: -2y2 + 2y2 = 0 0 = -1 + 2y + 2y2 Simplifying 0 = -1 + 2y + 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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