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Simplifying 5xy + 20x + -40xy2 = 0 Reorder the terms: 20x + 5xy + -40xy2 = 0 Solving 20x + 5xy + -40xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5x'. 5x(4 + y + -8y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(4 + y + -8y2)' equal to zero and attempt to solve: Simplifying 4 + y + -8y2 = 0 Solving 4 + y + -8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + y + -4 + -8y2 = 0 + -4 Reorder the terms: 4 + -4 + y + -8y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y + -8y2 = 0 + -4 y + -8y2 = 0 + -4 Combine like terms: 0 + -4 = -4 y + -8y2 = -4 Add '-1y' to each side of the equation. y + -1y + -8y2 = -4 + -1y Combine like terms: y + -1y = 0 0 + -8y2 = -4 + -1y -8y2 = -4 + -1y Add '8y2' to each side of the equation. -8y2 + 8y2 = -4 + -1y + 8y2 Combine like terms: -8y2 + 8y2 = 0 0 = -4 + -1y + 8y2 Simplifying 0 = -4 + -1y + 8y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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