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Simplifying 5x2y3 + 35x2y2 + -40x2y = 0 Reorder the terms: -40x2y + 35x2y2 + 5x2y3 = 0 Solving -40x2y + 35x2y2 + 5x2y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5x2y'. 5x2y(-8 + 7y + y2) = 0 Factor a trinomial. 5x2y((-8 + -1y)(1 + -1y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Add 'y' to each side of the equation. -1y + y = 8 + y Combine like terms: -1y + y = 0 0 = 8 + y Simplifying 0 = 8 + y 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 '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + y 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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