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Simplifying d2 + 12d + 36 = 0 Reorder the terms: 36 + 12d + d2 = 0 Solving 36 + 12d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (6 + d)(6 + d) = 0Subproblem 1
Set the factor '(6 + d)' equal to zero and attempt to solve: Simplifying 6 + d = 0 Solving 6 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + d = 0 + -6 d = 0 + -6 Combine like terms: 0 + -6 = -6 d = -6 Simplifying d = -6Subproblem 2
Set the factor '(6 + d)' equal to zero and attempt to solve: Simplifying 6 + d = 0 Solving 6 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + d = 0 + -6 d = 0 + -6 Combine like terms: 0 + -6 = -6 d = -6 Simplifying d = -6Solution
d = {-6, -6}
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