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Simplifying d2 + 9d + 14 = 0 Reorder the terms: 14 + 9d + d2 = 0 Solving 14 + 9d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + d)(2 + 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 '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 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 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Solution
d = {-7, -2}
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