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Simplifying 72d3 + 129d2 + 15d = 0 Reorder the terms: 15d + 129d2 + 72d3 = 0 Solving 15d + 129d2 + 72d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3d'. 3d(5 + 43d + 24d2) = 0 Factor a trinomial. 3d((5 + 3d)(1 + 8d)) = 0 Ignore the factor 3.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 '(5 + 3d)' equal to zero and attempt to solve: Simplifying 5 + 3d = 0 Solving 5 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 0 + -5 3d = 0 + -5 Combine like terms: 0 + -5 = -5 3d = -5 Divide each side by '3'. d = -1.666666667 Simplifying d = -1.666666667Subproblem 3
Set the factor '(1 + 8d)' equal to zero and attempt to solve: Simplifying 1 + 8d = 0 Solving 1 + 8d = 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 + 8d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8d = 0 + -1 8d = 0 + -1 Combine like terms: 0 + -1 = -1 8d = -1 Divide each side by '8'. d = -0.125 Simplifying d = -0.125Solution
d = {0, -1.666666667, -0.125}
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