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Simplifying x7y5 + 7x4y3 + 10xy = 0 Reorder the terms: 10xy + 7x4y3 + x7y5 = 0 Solving 10xy + 7x4y3 + x7y5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(10 + 7x3y2 + x6y4) = 0 Factor a trinomial. xy((5 + x3y2)(2 + x3y2)) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(5 + x3y2)' equal to zero and attempt to solve: Simplifying 5 + x3y2 = 0 Solving 5 + x3y2 = 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 + x3y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x3y2 = 0 + -5 x3y2 = 0 + -5 Combine like terms: 0 + -5 = -5 x3y2 = -5 Divide each side by 'y2'. x3 = -5y-2 Simplifying x3 = -5y-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + x3y2)' equal to zero and attempt to solve: Simplifying 2 + x3y2 = 0 Solving 2 + x3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x3y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x3y2 = 0 + -2 x3y2 = 0 + -2 Combine like terms: 0 + -2 = -2 x3y2 = -2 Divide each side by 'y2'. x3 = -2y-2 Simplifying x3 = -2y-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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