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Simplifying 8d2 + 82d + 20 = 0 Reorder the terms: 20 + 82d + 8d2 = 0 Solving 20 + 82d + 8d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 41d + 4d2) = 0 Factor a trinomial. 2((10 + d)(1 + 4d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + d)' equal to zero and attempt to solve: Simplifying 10 + d = 0 Solving 10 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + d = 0 + -10 d = 0 + -10 Combine like terms: 0 + -10 = -10 d = -10 Simplifying d = -10Subproblem 2
Set the factor '(1 + 4d)' equal to zero and attempt to solve: Simplifying 1 + 4d = 0 Solving 1 + 4d = 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 + 4d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4d = 0 + -1 4d = 0 + -1 Combine like terms: 0 + -1 = -1 4d = -1 Divide each side by '4'. d = -0.25 Simplifying d = -0.25Solution
d = {-10, -0.25}
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