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Simplifying 20x2y3 + 5x2y4 + -10xy2 = 0 Reorder the terms: -10xy2 + 20x2y3 + 5x2y4 = 0 Solving -10xy2 + 20x2y3 + 5x2y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5xy2'. 5xy2(-2 + 4xy + xy2) = 0 Ignore the factor 5.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 '(-2 + 4xy + xy2)' equal to zero and attempt to solve: Simplifying -2 + 4xy + xy2 = 0 Solving -2 + 4xy + xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4xy + 2 + xy2 = 0 + 2 Reorder the terms: -2 + 2 + 4xy + xy2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4xy + xy2 = 0 + 2 4xy + xy2 = 0 + 2 Combine like terms: 0 + 2 = 2 4xy + xy2 = 2 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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