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Simplifying 3x3y3 + 6x2y2 + -45xy = 0 Reorder the terms: -45xy + 6x2y2 + 3x3y3 = 0 Solving -45xy + 6x2y2 + 3x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(-15 + 2xy + x2y2) = 0 Factor a trinomial. 3xy((-5 + -1xy)(3 + -1xy)) = 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 '(-5 + -1xy)' equal to zero and attempt to solve: Simplifying -5 + -1xy = 0 Solving -5 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1xy = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1xy = 0 + 5 -1xy = 0 + 5 Combine like terms: 0 + 5 = 5 -1xy = 5 Divide each side by '-1y'. x = -5y-1 Simplifying x = -5y-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 = {-5y-1, 3y-1}
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