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Simplifying 5d(d2 + -16) = 0 Reorder the terms: 5d(-16 + d2) = 0 (-16 * 5d + d2 * 5d) = 0 (-80d + 5d3) = 0 Solving -80d + 5d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '5d'. 5d(-16 + d2) = 0 Factor a difference between two squares. 5d((4 + d)(-4 + d)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 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 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4Subproblem 3
Set the factor '(-4 + d)' equal to zero and attempt to solve: Simplifying -4 + d = 0 Solving -4 + d = 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 + d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + d = 0 + 4 d = 0 + 4 Combine like terms: 0 + 4 = 4 d = 4 Simplifying d = 4Solution
d = {0, -4, 4}
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