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Simplifying d * d + 18d + 56 = 0 Multiply d * d d2 + 18d + 56 = 0 Reorder the terms: 56 + 18d + d2 = 0 Solving 56 + 18d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (14 + d)(4 + d) = 0Subproblem 1
Set the factor '(14 + d)' equal to zero and attempt to solve: Simplifying 14 + d = 0 Solving 14 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + d = 0 + -14 Combine like terms: 14 + -14 = 0 0 + d = 0 + -14 d = 0 + -14 Combine like terms: 0 + -14 = -14 d = -14 Simplifying d = -14Subproblem 2
Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4Solution
d = {-14, -4}
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