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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 Reorder the terms: (4D2Y + D4Y + 4Y) = 0 (4D2Y + D4Y + 4Y) = 0 Solving 4D2Y + D4Y + 4Y = 0 Solving for variable 'D'. Factor out the Greatest Common Factor (GCF), 'Y'. Y(4D2 + D4 + 4) = 0 Factor a trinomial. Y((D2 + 2)(D2 + 2)) = 0Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve: Simplifying Y = 0 Solving Y = 0 Move all terms containing D to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + -1Y = 0 + -1Y Remove the zero: 0 = -1Y Simplifying 0 = -1Y 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 '(D2 + 2)' equal to zero and attempt to solve: Simplifying D2 + 2 = 0 Reorder the terms: 2 + D2 = 0 Solving 2 + D2 = 0 Move all terms containing D 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 Simplifying D2 = -2 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 '(D2 + 2)' equal to zero and attempt to solve: Simplifying D2 + 2 = 0 Reorder the terms: 2 + D2 = 0 Solving 2 + D2 = 0 Move all terms containing D 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 Simplifying D2 = -2 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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