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Simplifying 4x3y + -12x2y2 + -160xy3 = 0 Reorder the terms: -160xy3 + -12x2y2 + 4x3y = 0 Solving -160xy3 + -12x2y2 + 4x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(-40y2 + -3xy + x2) = 0 Factor a trinomial. 4xy((-5y + -1x)(8y + -1x)) = 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 '(-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 = -5ySubproblem 3
Set the factor '(8y + -1x)' equal to zero and attempt to solve: Simplifying 8y + -1x = 0 Reorder the terms: -1x + 8y = 0 Solving -1x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -1x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -1x + 0 = 0 + -8y -1x = 0 + -8y Remove the zero: -1x = -8y Divide each side by '-1'. x = 8y Simplifying x = 8ySolution
x = {-5y, 8y}
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