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Simplifying (D5 + 8D3 + 16D) * y = 0 Reorder the terms: (16D + 8D3 + D5) * y = 0 Reorder the terms for easier multiplication: y(16D + 8D3 + D5) = 0 (16D * y + 8D3 * y + D5 * y) = 0 (16yD + 8yD3 + yD5) = 0 Solving 16yD + 8yD3 + yD5 = 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(16 + 8D2 + D4) = 0 Factor a trinomial. yD((4 + D2)(4 + D2)) = 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 '(4 + D2)' equal to zero and attempt to solve: Simplifying 4 + D2 = 0 Solving 4 + D2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + D2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + D2 = 0 + -4 D2 = 0 + -4 Combine like terms: 0 + -4 = -4 D2 = -4 Add '-1D2' to each side of the equation. D2 + -1D2 = -4 + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -4 + -1D2 Simplifying 0 = -4 + -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 '(4 + D2)' equal to zero and attempt to solve: Simplifying 4 + D2 = 0 Solving 4 + D2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + D2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + D2 = 0 + -4 D2 = 0 + -4 Combine like terms: 0 + -4 = -4 D2 = -4 Add '-1D2' to each side of the equation. D2 + -1D2 = -4 + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -4 + -1D2 Simplifying 0 = -4 + -1D2 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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