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Simplifying 6d2 + 21d + 15 = 0 Reorder the terms: 15 + 21d + 6d2 = 0 Solving 15 + 21d + 6d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 7d + 2d2) = 0 Factor a trinomial. 3((5 + 2d)(1 + d)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + 2d)' equal to zero and attempt to solve: Simplifying 5 + 2d = 0 Solving 5 + 2d = 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 + 2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 0 + -5 2d = 0 + -5 Combine like terms: 0 + -5 = -5 2d = -5 Divide each side by '2'. d = -2.5 Simplifying d = -2.5Subproblem 2
Set the factor '(1 + d)' equal to zero and attempt to solve: Simplifying 1 + d = 0 Solving 1 + d = 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 + d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d = 0 + -1 d = 0 + -1 Combine like terms: 0 + -1 = -1 d = -1 Simplifying d = -1Solution
d = {-2.5, -1}
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