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Simplifying (d6 + 6d4 + 9d2) * y = 0 Reorder the terms: (9d2 + 6d4 + d6) * y = 0 Reorder the terms for easier multiplication: y(9d2 + 6d4 + d6) = 0 (9d2 * y + 6d4 * y + d6 * y) = 0 (9d2y + 6d4y + d6y) = 0 Solving 9d2y + 6d4y + d6y = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd2y'. d2y(9 + 6d2 + d4) = 0 Factor a trinomial. d2y((3 + d2)(3 + d2)) = 0Subproblem 1
Set the factor 'd2y' equal to zero and attempt to solve: Simplifying d2y = 0 Solving d2y = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2y = 0 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 '(3 + d2)' equal to zero and attempt to solve: Simplifying 3 + d2 = 0 Solving 3 + d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + d2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + d2 = 0 + -3 d2 = 0 + -3 Combine like terms: 0 + -3 = -3 d2 = -3 Simplifying d2 = -3 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 '(3 + d2)' equal to zero and attempt to solve: Simplifying 3 + d2 = 0 Solving 3 + d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + d2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + d2 = 0 + -3 d2 = 0 + -3 Combine like terms: 0 + -3 = -3 d2 = -3 Simplifying d2 = -3 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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