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Simplifying 72d2 + 24d + 2 = 0 Reorder the terms: 2 + 24d + 72d2 = 0 Solving 2 + 24d + 72d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 12d + 36d2) = 0 Factor a trinomial. 2((1 + 6d)(1 + 6d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 6d)' equal to zero and attempt to solve: Simplifying 1 + 6d = 0 Solving 1 + 6d = 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 + 6d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6d = 0 + -1 6d = 0 + -1 Combine like terms: 0 + -1 = -1 6d = -1 Divide each side by '6'. d = -0.1666666667 Simplifying d = -0.1666666667Subproblem 2
Set the factor '(1 + 6d)' equal to zero and attempt to solve: Simplifying 1 + 6d = 0 Solving 1 + 6d = 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 + 6d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6d = 0 + -1 6d = 0 + -1 Combine like terms: 0 + -1 = -1 6d = -1 Divide each side by '6'. d = -0.1666666667 Simplifying d = -0.1666666667Solution
d = {-0.1666666667, -0.1666666667}
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