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Simplifying (6xy + xy3) + -1(3x3y2 + -4xy3) = 0 Remove parenthesis around (6xy + xy3) 6xy + xy3 + -1(3x3y2 + -4xy3) = 0 Reorder the terms: 6xy + xy3 + -1(-4xy3 + 3x3y2) = 0 6xy + xy3 + (-4xy3 * -1 + 3x3y2 * -1) = 0 6xy + xy3 + (4xy3 + -3x3y2) = 0 Combine like terms: xy3 + 4xy3 = 5xy3 6xy + 5xy3 + -3x3y2 = 0 Solving 6xy + 5xy3 + -3x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(6 + 5y2 + -3x2y) = 0Subproblem 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 '(6 + 5y2 + -3x2y)' equal to zero and attempt to solve: Simplifying 6 + 5y2 + -3x2y = 0 Reorder the terms: 6 + -3x2y + 5y2 = 0 Solving 6 + -3x2y + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3x2y + -6 + 5y2 = 0 + -6 Reorder the terms: 6 + -6 + -3x2y + 5y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3x2y + 5y2 = 0 + -6 -3x2y + 5y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -3x2y + 5y2 = -6 Add '-5y2' to each side of the equation. -3x2y + 5y2 + -5y2 = -6 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -3x2y + 0 = -6 + -5y2 -3x2y = -6 + -5y2 Divide each side by '-3y'. x2 = 2y-1 + 1.666666667y Simplifying x2 = 2y-1 + 1.666666667y 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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