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Simplifying -3xy3 + 7xy7 + (-1xy3) + (-3xy3) = 0 Reorder the terms: -3xy3 + (-1xy3) + (-3xy3) + 7xy7 = 0 Combine like terms: -3xy3 + (-1xy3) = -4xy3 -4xy3 + (-3xy3) + 7xy7 = 0 Combine like terms: -4xy3 + (-3xy3) = -7xy3 -7xy3 + 7xy7 = 0 Solving -7xy3 + 7xy7 = 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), '7xy3'. 7xy3(-1 + y4) = 0 Factor a difference between two squares. 7xy3((1 + y2)(-1 + y2)) = 0 Factor a difference between two squares. 7xy3((1 + y2)((1 + y)(-1 + y))) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'xy3' equal to zero and attempt to solve: Simplifying xy3 = 0 Solving xy3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy3 = 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 '(1 + y2)' equal to zero and attempt to solve: Simplifying 1 + y2 = 0 Solving 1 + y2 = 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 + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y2 = 0 + -1 y2 = 0 + -1 Combine like terms: 0 + -1 = -1 y2 = -1 Add '-1y2' to each side of the equation. y2 + -1y2 = -1 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1 + -1y2 Simplifying 0 = -1 + -1y2 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 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 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 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Add '-1y' to each side of the equation. y + -1y = 1 + -1y Combine like terms: y + -1y = 0 0 = 1 + -1y Simplifying 0 = 1 + -1y 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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