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Simplifying d2 + 10d + 18 = -7 Reorder the terms: 18 + 10d + d2 = -7 Solving 18 + 10d + d2 = -7 Solving for variable 'd'. Reorder the terms: 18 + 7 + 10d + d2 = -7 + 7 Combine like terms: 18 + 7 = 25 25 + 10d + d2 = -7 + 7 Combine like terms: -7 + 7 = 0 25 + 10d + d2 = 0 Factor a trinomial. (5 + d)(5 + d) = 0Subproblem 1
Set the factor '(5 + d)' equal to zero and attempt to solve: Simplifying 5 + d = 0 Solving 5 + d = 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 + d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + d = 0 + -5 d = 0 + -5 Combine like terms: 0 + -5 = -5 d = -5 Simplifying d = -5Subproblem 2
Set the factor '(5 + d)' equal to zero and attempt to solve: Simplifying 5 + d = 0 Solving 5 + d = 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 + d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + d = 0 + -5 d = 0 + -5 Combine like terms: 0 + -5 = -5 d = -5 Simplifying d = -5Solution
d = {-5, -5}
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