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Simplifying D3y + -6D2y + 11Dy + -6y = 0 Reorder the terms: -6y + 11yD + -6yD2 + yD3 = 0 Solving -6y + 11yD + -6yD2 + yD3 = 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), 'y'. y(-6 + 11D + -6D2 + D3) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-6 + 11D + -6D2 + D3)' equal to zero and attempt to solve: Simplifying -6 + 11D + -6D2 + D3 = 0 Solving -6 + 11D + -6D2 + D3 = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 11D + -6D2 + 6 + D3 = 0 + 6 Reorder the terms: -6 + 6 + 11D + -6D2 + D3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 11D + -6D2 + D3 = 0 + 6 11D + -6D2 + D3 = 0 + 6 Combine like terms: 0 + 6 = 6 11D + -6D2 + D3 = 6 Add '-11D' to each side of the equation. 11D + -6D2 + -11D + D3 = 6 + -11D Reorder the terms: 11D + -11D + -6D2 + D3 = 6 + -11D Combine like terms: 11D + -11D = 0 0 + -6D2 + D3 = 6 + -11D -6D2 + D3 = 6 + -11D Add '6D2' to each side of the equation. -6D2 + 6D2 + D3 = 6 + -11D + 6D2 Combine like terms: -6D2 + 6D2 = 0 0 + D3 = 6 + -11D + 6D2 D3 = 6 + -11D + 6D2 Add '-1D3' to each side of the equation. D3 + -1D3 = 6 + -11D + 6D2 + -1D3 Combine like terms: D3 + -1D3 = 0 0 = 6 + -11D + 6D2 + -1D3 Simplifying 0 = 6 + -11D + 6D2 + -1D3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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