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Simplifying (d4 + -8d3 + 16d2) * y = 0 Reorder the terms: (16d2 + -8d3 + d4) * y = 0 Reorder the terms for easier multiplication: y(16d2 + -8d3 + d4) = 0 (16d2 * y + -8d3 * y + d4 * y) = 0 (16d2y + -8d3y + d4y) = 0 Solving 16d2y + -8d3y + d4y = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd2y'. d2y(16 + -8d + d2) = 0 Factor a trinomial. d2y((4 + -1d)(4 + -1d)) = 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 '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Subproblem 3
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Solution
d = {4, 4}
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