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Simplifying (d + 4)(d + 4) = 4 Reorder the terms: (4 + d)(d + 4) = 4 Reorder the terms: (4 + d)(4 + d) = 4 Multiply (4 + d) * (4 + d) (4(4 + d) + d(4 + d)) = 4 ((4 * 4 + d * 4) + d(4 + d)) = 4 ((16 + 4d) + d(4 + d)) = 4 (16 + 4d + (4 * d + d * d)) = 4 (16 + 4d + (4d + d2)) = 4 Combine like terms: 4d + 4d = 8d (16 + 8d + d2) = 4 Solving 16 + 8d + d2 = 4 Solving for variable 'd'. Reorder the terms: 16 + -4 + 8d + d2 = 4 + -4 Combine like terms: 16 + -4 = 12 12 + 8d + d2 = 4 + -4 Combine like terms: 4 + -4 = 0 12 + 8d + d2 = 0 Factor a trinomial. (6 + d)(2 + 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 '(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 = {-6, -2}
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