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Simplifying 81d2 + 36d + 4 = 0 Reorder the terms: 4 + 36d + 81d2 = 0 Solving 4 + 36d + 81d2 = 0 Solving for variable 'd'. Factor a trinomial. (2 + 9d)(2 + 9d) = 0Subproblem 1
Set the factor '(2 + 9d)' equal to zero and attempt to solve: Simplifying 2 + 9d = 0 Solving 2 + 9d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9d = 0 + -2 9d = 0 + -2 Combine like terms: 0 + -2 = -2 9d = -2 Divide each side by '9'. d = -0.2222222222 Simplifying d = -0.2222222222Subproblem 2
Set the factor '(2 + 9d)' equal to zero and attempt to solve: Simplifying 2 + 9d = 0 Solving 2 + 9d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9d = 0 + -2 9d = 0 + -2 Combine like terms: 0 + -2 = -2 9d = -2 Divide each side by '9'. d = -0.2222222222 Simplifying d = -0.2222222222Solution
d = {-0.2222222222, -0.2222222222}
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