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Simplifying x3y2 + x2y + -20x = 0 Reorder the terms: -20x + x2y + x3y2 = 0 Solving -20x + x2y + x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + xy + x2y2) = 0 Factor a trinomial. x((-5 + -1xy)(4 + -1xy)) = 0Subproblem 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 '(-5 + -1xy)' equal to zero and attempt to solve: Simplifying -5 + -1xy = 0 Solving -5 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1xy = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1xy = 0 + 5 -1xy = 0 + 5 Combine like terms: 0 + 5 = 5 -1xy = 5 Divide each side by '-1y'. x = -5y-1 Simplifying x = -5y-1Subproblem 3
Set the factor '(4 + -1xy)' equal to zero and attempt to solve: Simplifying 4 + -1xy = 0 Solving 4 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1xy = 0 + -4 -1xy = 0 + -4 Combine like terms: 0 + -4 = -4 -1xy = -4 Divide each side by '-1y'. x = 4y-1 Simplifying x = 4y-1Solution
x = {0, -5y-1, 4y-1}
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