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Simplifying (D4 + -1) * y(t) = 0 Reorder the terms: (-1 + D4) * y(t) = 0 Reorder the terms for easier multiplication: y * t(-1 + D4) = 0 Multiply y * t ty(-1 + D4) = 0 (-1 * ty + D4 * ty) = 0 (-1ty + tyD4) = 0 Solving -1ty + tyD4 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ty'. ty(-1 + D4) = 0 Factor a difference between two squares. ty((1 + D2)(-1 + D2)) = 0 Factor a difference between two squares. ty((1 + D2)((1 + D)(-1 + D))) = 0Subproblem 1
Set the factor 'ty' equal to zero and attempt to solve: Simplifying ty = 0 Solving ty = 0 Move all terms containing t to the left, all other terms to the right. Simplifying ty = 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 + D2)' equal to zero and attempt to solve: Simplifying 1 + D2 = 0 Solving 1 + D2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + D2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + D2 = 0 + -1 D2 = 0 + -1 Combine like terms: 0 + -1 = -1 D2 = -1 Add '-1D2' to each side of the equation. D2 + -1D2 = -1 + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -1 + -1D2 Simplifying 0 = -1 + -1D2 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 '(1 + D)' equal to zero and attempt to solve: Simplifying 1 + D = 0 Solving 1 + D = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + D = 0 + -1 Combine like terms: 1 + -1 = 0 0 + D = 0 + -1 D = 0 + -1 Combine like terms: 0 + -1 = -1 D = -1 Add '-1D' to each side of the equation. D + -1D = -1 + -1D Combine like terms: D + -1D = 0 0 = -1 + -1D Simplifying 0 = -1 + -1D The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-1 + D)' equal to zero and attempt to solve: Simplifying -1 + D = 0 Solving -1 + D = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + D = 0 + 1 Combine like terms: -1 + 1 = 0 0 + D = 0 + 1 D = 0 + 1 Combine like terms: 0 + 1 = 1 D = 1 Add '-1D' to each side of the equation. D + -1D = 1 + -1D Combine like terms: D + -1D = 0 0 = 1 + -1D Simplifying 0 = 1 + -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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