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Simplifying 2xy(8x + -5y) = 0 (8x * 2xy + -5y * 2xy) = 0 Reorder the terms: (-10xy2 + 16x2y) = 0 (-10xy2 + 16x2y) = 0 Solving -10xy2 + 16x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-5y + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying -5y + 8x = 0 Reorder the terms: 8x + -5y = 0 Solving 8x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 8x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 8x + 0 = 0 + 5y 8x = 0 + 5y Remove the zero: 8x = 5y Divide each side by '8'. x = 0.625y Simplifying x = 0.625ySolution
x = {0.625y}
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