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Simplifying xy2 + 10xy + 20y + 10xy + 20y = 0 Reorder the terms: 10xy + 10xy + xy2 + 20y + 20y = 0 Combine like terms: 10xy + 10xy = 20xy 20xy + xy2 + 20y + 20y = 0 Combine like terms: 20y + 20y = 40y 20xy + xy2 + 40y = 0 Solving 20xy + xy2 + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. 20xy + xy2 + 40y + -40y = 0 + -40y Combine like terms: 40y + -40y = 0 20xy + xy2 + 0 = 0 + -40y 20xy + xy2 = 0 + -40y Remove the zero: 20xy + xy2 = -40y Combine like terms: -40y + 40y = 0 20xy + xy2 + 40y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(20x + xy + 40) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(20x + xy + 40)' equal to zero and attempt to solve: Simplifying 20x + xy + 40 = 0 Reorder the terms: 40 + 20x + xy = 0 Solving 40 + 20x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 20x + -40 + xy = 0 + -40 Reorder the terms: 40 + -40 + 20x + xy = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 20x + xy = 0 + -40 20x + xy = 0 + -40 Combine like terms: 0 + -40 = -40 20x + xy = -40 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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