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Simplifying (4D4 + 8D2 + 4) * Y = 0 Reorder the terms: (4 + 8D2 + 4D4) * Y = 0 Reorder the terms for easier multiplication: Y(4 + 8D2 + 4D4) = 0 (4 * Y + 8D2 * Y + 4D4 * Y) = 0 Reorder the terms: (8D2Y + 4D4Y + 4Y) = 0 (8D2Y + 4D4Y + 4Y) = 0 Solving 8D2Y + 4D4Y + 4Y = 0 Solving for variable 'D'. Factor out the Greatest Common Factor (GCF), '4Y'. 4Y(2D2 + D4 + 1) = 0 Factor a trinomial. 4Y((D2 + 1)(D2 + 1)) = 0 Ignore the factor 4.Subproblem 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 + 1)' equal to zero and attempt to solve: Simplifying D2 + 1 = 0 Reorder the terms: 1 + D2 = 0 Solving 1 + D2 = 0 Move all terms containing D 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 Simplifying D2 = -1 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 + 1)' equal to zero and attempt to solve: Simplifying D2 + 1 = 0 Reorder the terms: 1 + D2 = 0 Solving 1 + D2 = 0 Move all terms containing D 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 Simplifying D2 = -1 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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