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Simplifying -4x3y3 + 24x2y2 + -36xy = 0 Reorder the terms: -36xy + 24x2y2 + -4x3y3 = 0 Solving -36xy + 24x2y2 + -4x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(-9 + 6xy + -1x2y2) = 0 Factor a trinomial. 4xy((-3 + xy)(3 + -1xy)) = 0 Ignore the factor 4.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 '(-3 + xy)' equal to zero and attempt to solve: Simplifying -3 + xy = 0 Solving -3 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + xy = 0 + 3 xy = 0 + 3 Combine like terms: 0 + 3 = 3 xy = 3 Divide each side by 'y'. x = 3y-1 Simplifying x = 3y-1Subproblem 3
Set the factor '(3 + -1xy)' equal to zero and attempt to solve: Simplifying 3 + -1xy = 0 Solving 3 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1xy = 0 + -3 -1xy = 0 + -3 Combine like terms: 0 + -3 = -3 -1xy = -3 Divide each side by '-1y'. x = 3y-1 Simplifying x = 3y-1Solution
x = {3y-1, 3y-1}
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