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Simplifying 8x2y2 + -24xy3 + 16xy = 0 Reorder the terms: 16xy + -24xy3 + 8x2y2 = 0 Solving 16xy + -24xy3 + 8x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8xy'. 8xy(2 + -3y2 + xy) = 0 Ignore the factor 8.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 '(2 + -3y2 + xy)' equal to zero and attempt to solve: Simplifying 2 + -3y2 + xy = 0 Reorder the terms: 2 + xy + -3y2 = 0 Solving 2 + xy + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + xy + -2 + -3y2 = 0 + -2 Reorder the terms: 2 + -2 + xy + -3y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy + -3y2 = 0 + -2 xy + -3y2 = 0 + -2 Combine like terms: 0 + -2 = -2 xy + -3y2 = -2 Add '3y2' to each side of the equation. xy + -3y2 + 3y2 = -2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 xy + 0 = -2 + 3y2 xy = -2 + 3y2 Divide each side by 'y'. x = -2y-1 + 3y Simplifying x = -2y-1 + 3ySolution
x = {-2y-1 + 3y}
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