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Simplifying (D4 + 4D2 + 4) * y = 0 Reorder the terms: (4 + 4D2 + D4) * y = 0 Reorder the terms for easier multiplication: y(4 + 4D2 + D4) = 0 (4 * y + 4D2 * y + D4 * y) = 0 (4y + 4yD2 + yD4) = 0 Solving 4y + 4yD2 + 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), 'y'. y(4 + 4D2 + D4) = 0 Factor a trinomial. y((2 + D2)(2 + D2)) = 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 '(2 + D2)' equal to zero and attempt to solve: Simplifying 2 + D2 = 0 Solving 2 + D2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + D2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + D2 = 0 + -2 D2 = 0 + -2 Combine like terms: 0 + -2 = -2 D2 = -2 Add '-1D2' to each side of the equation. D2 + -1D2 = -2 + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -2 + -1D2 Simplifying 0 = -2 + -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 '(2 + D2)' equal to zero and attempt to solve: Simplifying 2 + D2 = 0 Solving 2 + D2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + D2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + D2 = 0 + -2 D2 = 0 + -2 Combine like terms: 0 + -2 = -2 D2 = -2 Add '-1D2' to each side of the equation. D2 + -1D2 = -2 + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -2 + -1D2 Simplifying 0 = -2 + -1D2 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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