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Simplifying d2 + 18(d + 4) = -9 Reorder the terms: d2 + 18(4 + d) = -9 d2 + (4 * 18 + d * 18) = -9 d2 + (72 + 18d) = -9 Reorder the terms: 72 + 18d + d2 = -9 Solving 72 + 18d + d2 = -9 Solving for variable 'd'. Reorder the terms: 72 + 9 + 18d + d2 = -9 + 9 Combine like terms: 72 + 9 = 81 81 + 18d + d2 = -9 + 9 Combine like terms: -9 + 9 = 0 81 + 18d + d2 = 0 Factor a trinomial. (9 + d)(9 + d) = 0Subproblem 1
Set the factor '(9 + d)' equal to zero and attempt to solve: Simplifying 9 + d = 0 Solving 9 + d = 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 + d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + d = 0 + -9 d = 0 + -9 Combine like terms: 0 + -9 = -9 d = -9 Simplifying d = -9Subproblem 2
Set the factor '(9 + d)' equal to zero and attempt to solve: Simplifying 9 + d = 0 Solving 9 + d = 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 + d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + d = 0 + -9 d = 0 + -9 Combine like terms: 0 + -9 = -9 d = -9 Simplifying d = -9Solution
d = {-9, -9}
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