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Simplifying D4y + 6D3y + 9D2y = 0 Reorder the terms: 9yD2 + 6yD3 + yD4 = 0 Solving 9yD2 + 6yD3 + yD4 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'yD2'. yD2(9 + 6D + D2) = 0 Factor a trinomial. yD2((3 + D)(3 + D)) = 0Subproblem 1
Set the factor 'yD2' equal to zero and attempt to solve: Simplifying yD2 = 0 Solving yD2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yD2 = 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 '(3 + D)' equal to zero and attempt to solve: Simplifying 3 + D = 0 Solving 3 + D = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + D = 0 + -3 Combine like terms: 3 + -3 = 0 0 + D = 0 + -3 D = 0 + -3 Combine like terms: 0 + -3 = -3 D = -3 Add '-1D' to each side of the equation. D + -1D = -3 + -1D Combine like terms: D + -1D = 0 0 = -3 + -1D Simplifying 0 = -3 + -1D 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 + D)' equal to zero and attempt to solve: Simplifying 3 + D = 0 Solving 3 + D = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + D = 0 + -3 Combine like terms: 3 + -3 = 0 0 + D = 0 + -3 D = 0 + -3 Combine like terms: 0 + -3 = -3 D = -3 Add '-1D' to each side of the equation. D + -1D = -3 + -1D Combine like terms: D + -1D = 0 0 = -3 + -1D Simplifying 0 = -3 + -1D 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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