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