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Simplifying (D4 + -1D3 + -1D2 + D) * y = 0 Reorder the terms: (D + -1D2 + -1D3 + D4) * y = 0 Reorder the terms for easier multiplication: y(D + -1D2 + -1D3 + D4) = 0 (D * y + -1D2 * y + -1D3 * y + D4 * y) = 0 (yD + -1yD2 + -1yD3 + yD4) = 0 Solving yD + -1yD2 + -1yD3 + 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), 'yD'. yD(1 + -1D + -1D2 + D3) = 0Subproblem 1
Set the factor 'yD' equal to zero and attempt to solve: Simplifying yD = 0 Solving yD = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yD = 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 + -1D + -1D2 + D3)' equal to zero and attempt to solve: Simplifying 1 + -1D + -1D2 + D3 = 0 Solving 1 + -1D + -1D2 + D3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1D + -1D2 + -1 + D3 = 0 + -1 Reorder the terms: 1 + -1 + -1D + -1D2 + D3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1D + -1D2 + D3 = 0 + -1 -1D + -1D2 + D3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1D + -1D2 + D3 = -1 Add 'D' to each side of the equation. -1D + -1D2 + D + D3 = -1 + D Reorder the terms: -1D + D + -1D2 + D3 = -1 + D Combine like terms: -1D + D = 0 0 + -1D2 + D3 = -1 + D -1D2 + D3 = -1 + D Add 'D2' to each side of the equation. -1D2 + D2 + D3 = -1 + D + D2 Combine like terms: -1D2 + D2 = 0 0 + D3 = -1 + D + D2 D3 = -1 + D + D2 Add '-1D3' to each side of the equation. D3 + -1D3 = -1 + D + D2 + -1D3 Combine like terms: D3 + -1D3 = 0 0 = -1 + D + D2 + -1D3 Simplifying 0 = -1 + D + D2 + -1D3 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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