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Simplifying d2 + 14d = -49 Reorder the terms: 14d + d2 = -49 Solving 14d + d2 = -49 Solving for variable 'd'. Reorder the terms: 49 + 14d + d2 = -49 + 49 Combine like terms: -49 + 49 = 0 49 + 14d + d2 = 0 Factor a trinomial. (7 + d)(7 + d) = 0Subproblem 1
Set the factor '(7 + d)' equal to zero and attempt to solve: Simplifying 7 + d = 0 Solving 7 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + d = 0 + -7 d = 0 + -7 Combine like terms: 0 + -7 = -7 d = -7 Simplifying d = -7Subproblem 2
Set the factor '(7 + d)' equal to zero and attempt to solve: Simplifying 7 + d = 0 Solving 7 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + d = 0 + -7 d = 0 + -7 Combine like terms: 0 + -7 = -7 d = -7 Simplifying d = -7Solution
d = {-7, -7}
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