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Simplifying 3x3y + 12x2y2 + -135xy3 = 0 Reorder the terms: -135xy3 + 12x2y2 + 3x3y = 0 Solving -135xy3 + 12x2y2 + 3x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(-45y2 + 4xy + x2) = 0 Factor a trinomial. 3xy((-9y + -1x)(5y + -1x)) = 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 '(-9y + -1x)' equal to zero and attempt to solve: Simplifying -9y + -1x = 0 Reorder the terms: -1x + -9y = 0 Solving -1x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. -1x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 -1x + 0 = 0 + 9y -1x = 0 + 9y Remove the zero: -1x = 9y Divide each side by '-1'. x = -9y Simplifying x = -9ySubproblem 3
Set the factor '(5y + -1x)' equal to zero and attempt to solve: Simplifying 5y + -1x = 0 Reorder the terms: -1x + 5y = 0 Solving -1x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -1x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 0 + -5y -1x = 0 + -5y Remove the zero: -1x = -5y Divide each side by '-1'. x = 5y Simplifying x = 5ySolution
x = {-9y, 5y}
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