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Simplifying 20d2 + 5d3 + -60d = 0 Reorder the terms: -60d + 20d2 + 5d3 = 0 Solving -60d + 20d2 + 5d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '5d'. 5d(-12 + 4d + d2) = 0 Factor a trinomial. 5d((-6 + -1d)(2 + -1d)) = 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 '(-6 + -1d)' equal to zero and attempt to solve: Simplifying -6 + -1d = 0 Solving -6 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1d = 0 + 6 -1d = 0 + 6 Combine like terms: 0 + 6 = 6 -1d = 6 Divide each side by '-1'. d = -6 Simplifying d = -6Subproblem 3
Set the factor '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 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 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2Solution
d = {0, -6, 2}
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