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Simplifying (6d + 5)(6d + 5) = 0 Reorder the terms: (5 + 6d)(6d + 5) = 0 Reorder the terms: (5 + 6d)(5 + 6d) = 0 Multiply (5 + 6d) * (5 + 6d) (5(5 + 6d) + 6d * (5 + 6d)) = 0 ((5 * 5 + 6d * 5) + 6d * (5 + 6d)) = 0 ((25 + 30d) + 6d * (5 + 6d)) = 0 (25 + 30d + (5 * 6d + 6d * 6d)) = 0 (25 + 30d + (30d + 36d2)) = 0 Combine like terms: 30d + 30d = 60d (25 + 60d + 36d2) = 0 Solving 25 + 60d + 36d2 = 0 Solving for variable 'd'. Factor a trinomial. (5 + 6d)(5 + 6d) = 0Subproblem 1
Set the factor '(5 + 6d)' equal to zero and attempt to solve: Simplifying 5 + 6d = 0 Solving 5 + 6d = 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 + 6d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = 0 + -5 6d = 0 + -5 Combine like terms: 0 + -5 = -5 6d = -5 Divide each side by '6'. d = -0.8333333333 Simplifying d = -0.8333333333Subproblem 2
Set the factor '(5 + 6d)' equal to zero and attempt to solve: Simplifying 5 + 6d = 0 Solving 5 + 6d = 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 + 6d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = 0 + -5 6d = 0 + -5 Combine like terms: 0 + -5 = -5 6d = -5 Divide each side by '6'. d = -0.8333333333 Simplifying d = -0.8333333333Solution
d = {-0.8333333333, -0.8333333333}
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