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Simplifying 0 = 5xy4 + -20x2y3 Solving 0 = 5xy4 + -20x2y3 Solving for variable 'x'. Remove the zero: -5xy4 + 20x2y3 = 5xy4 + -20x2y3 + -5xy4 + 20x2y3 Reorder the terms: -5xy4 + 20x2y3 = 5xy4 + -5xy4 + -20x2y3 + 20x2y3 Combine like terms: 5xy4 + -5xy4 = 0 -5xy4 + 20x2y3 = 0 + -20x2y3 + 20x2y3 -5xy4 + 20x2y3 = -20x2y3 + 20x2y3 Combine like terms: -20x2y3 + 20x2y3 = 0 -5xy4 + 20x2y3 = 0 Factor out the Greatest Common Factor (GCF), '5xy3'. 5xy3(-1y + 4x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'xy3' equal to zero and attempt to solve: Simplifying xy3 = 0 Solving xy3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy3 = 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 '(-1y + 4x)' equal to zero and attempt to solve: Simplifying -1y + 4x = 0 Reorder the terms: 4x + -1y = 0 Solving 4x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x + 0 = 0 + y 4x = 0 + y Remove the zero: 4x = y Divide each side by '4'. x = 0.25y Simplifying x = 0.25ySolution
x = {0.25y}
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