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Simplifying 4xy2(2x + 5y) = 0 (2x * 4xy2 + 5y * 4xy2) = 0 Reorder the terms: (20xy3 + 8x2y2) = 0 (20xy3 + 8x2y2) = 0 Solving 20xy3 + 8x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy2'. 4xy2(5y + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 = -2.5ySolution
x = {-2.5y}
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