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Simplifying 6x2y3 + 24xy3 + 40x2y2z2 = 0 Reorder the terms: 24xy3 + 40x2y2z2 + 6x2y3 = 0 Solving 24xy3 + 40x2y2z2 + 6x2y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy2'. 2xy2(12y + 20xz2 + 3xy) = 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 '(12y + 20xz2 + 3xy)' equal to zero and attempt to solve: Simplifying 12y + 20xz2 + 3xy = 0 Reorder the terms: 3xy + 20xz2 + 12y = 0 Solving 3xy + 20xz2 + 12y = 0 Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 3xy + 20xz2 + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 3xy + 20xz2 + 0 = 0 + -12y 3xy + 20xz2 = 0 + -12y Remove the zero: 3xy + 20xz2 = -12y 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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