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Simplifying 8x3y + -50xy3 = 0 Reorder the terms: -50xy3 + 8x3y = 0 Solving -50xy3 + 8x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-25y2 + 4x2) = 0 Factor a difference between two squares. 2xy((5y + 2x)(-5y + 2x)) = 0 Ignore the factor 2.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 + 2x)' equal to zero and attempt to solve: Simplifying 5y + 2x = 0 Reorder the terms: 2x + 5y = 0 Solving 2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 0 + -5y 2x = 0 + -5y Remove the zero: 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5ySubproblem 3
Set the factor '(-5y + 2x)' equal to zero and attempt to solve: Simplifying -5y + 2x = 0 Reorder the terms: 2x + -5y = 0 Solving 2x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 0 + 5y 2x = 0 + 5y Remove the zero: 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5ySolution
x = {-2.5y, 2.5y}
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