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Simplifying 4d2 + 36d + 81 = 0 Reorder the terms: 81 + 36d + 4d2 = 0 Solving 81 + 36d + 4d2 = 0 Solving for variable 'd'. Factor a trinomial. (9 + 2d)(9 + 2d) = 0Subproblem 1
Set the factor '(9 + 2d)' equal to zero and attempt to solve: Simplifying 9 + 2d = 0 Solving 9 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = 0 + -9 2d = 0 + -9 Combine like terms: 0 + -9 = -9 2d = -9 Divide each side by '2'. d = -4.5 Simplifying d = -4.5Subproblem 2
Set the factor '(9 + 2d)' equal to zero and attempt to solve: Simplifying 9 + 2d = 0 Solving 9 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = 0 + -9 2d = 0 + -9 Combine like terms: 0 + -9 = -9 2d = -9 Divide each side by '2'. d = -4.5 Simplifying d = -4.5Solution
d = {-4.5, -4.5}
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