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Simplifying 54x4y + -16xy3 = 0 Reorder the terms: -16xy3 + 54x4y = 0 Solving -16xy3 + 54x4y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-8y2 + 27x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-8y2 + 27x3)' equal to zero and attempt to solve: Simplifying -8y2 + 27x3 = 0 Reorder the terms: 27x3 + -8y2 = 0 Solving 27x3 + -8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8y2' to each side of the equation. 27x3 + -8y2 + 8y2 = 0 + 8y2 Combine like terms: -8y2 + 8y2 = 0 27x3 + 0 = 0 + 8y2 27x3 = 0 + 8y2 Remove the zero: 27x3 = 8y2 Divide each side by '27'. x3 = 0.2962962963y2 Simplifying x3 = 0.2962962963y2 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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