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Simplifying 3x2y + 6xy + -9x3y3 = 0 Reorder the terms: 6xy + 3x2y + -9x3y3 = 0 Solving 6xy + 3x2y + -9x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(2 + x + -3x2y2) = 0 Factor a trinomial. 3xy((1 + -1xy)(2 + 3xy)) = 0 Ignore the factor 3.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 '(1 + -1xy)' equal to zero and attempt to solve: Simplifying 1 + -1xy = 0 Solving 1 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1xy = 0 + -1 -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 -1xy = -1 Divide each side by '-1y'. x = y-1 Simplifying x = y-1Subproblem 3
Set the factor '(2 + 3xy)' equal to zero and attempt to solve: Simplifying 2 + 3xy = 0 Solving 2 + 3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3xy = 0 + -2 3xy = 0 + -2 Combine like terms: 0 + -2 = -2 3xy = -2 Divide each side by '3y'. x = -0.6666666667y-1 Simplifying x = -0.6666666667y-1Solution
x = {y-1, -0.6666666667y-1}
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