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Simplifying 15x5y3 + 90x5y2 + -405x5y = 0 Reorder the terms: -405x5y + 90x5y2 + 15x5y3 = 0 Solving -405x5y + 90x5y2 + 15x5y3 = 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), '15x5y'. 15x5y(-27 + 6y + y2) = 0 Factor a trinomial. 15x5y((-9 + -1y)(3 + -1y)) = 0 Ignore the factor 15.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 '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Add 'y' to each side of the equation. -1y + y = 9 + y Combine like terms: -1y + y = 0 0 = 9 + y Simplifying 0 = 9 + 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 '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + 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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