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Simplifying 7x5y3 + 14x5y2 + -168x5y = 0 Reorder the terms: -168x5y + 14x5y2 + 7x5y3 = 0 Solving -168x5y + 14x5y2 + 7x5y3 = 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), '7x5y'. 7x5y(-24 + 2y + y2) = 0 Factor a trinomial. 7x5y((-6 + -1y)(4 + -1y)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x5y' equal to zero and attempt to solve: Simplifying x5y = 0 Solving x5y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y = 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 '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Add 'y' to each side of the equation. -1y + y = 6 + y Combine like terms: -1y + y = 0 0 = 6 + y Simplifying 0 = 6 + 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 '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Add 'y' to each side of the equation. -1y + y = -4 + y Combine like terms: -1y + y = 0 0 = -4 + y Simplifying 0 = -4 + 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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