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Simplifying (D4 + 2D2 + 1) * y = 0 Reorder the terms: (1 + 2D2 + D4) * y = 0 Reorder the terms for easier multiplication: y(1 + 2D2 + D4) = 0 (1 * y + 2D2 * y + D4 * y) = 0 (1y + 2yD2 + yD4) = 0 Solving 1y + 2yD2 + 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(1 + 2D2 + D4) = 0 Factor a trinomial. y((1 + D2)(1 + 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 '(1 + D2)' equal to zero and attempt to solve: Simplifying 1 + D2 = 0 Solving 1 + D2 = 0 Move all terms containing y 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 + D2)' equal to zero and attempt to solve: Simplifying 1 + D2 = 0 Solving 1 + D2 = 0 Move all terms containing y 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.Solution
y = {0}
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