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Simplifying (d + 9)(d + 12) = 0 Reorder the terms: (9 + d)(d + 12) = 0 Reorder the terms: (9 + d)(12 + d) = 0 Multiply (9 + d) * (12 + d) (9(12 + d) + d(12 + d)) = 0 ((12 * 9 + d * 9) + d(12 + d)) = 0 ((108 + 9d) + d(12 + d)) = 0 (108 + 9d + (12 * d + d * d)) = 0 (108 + 9d + (12d + d2)) = 0 Combine like terms: 9d + 12d = 21d (108 + 21d + d2) = 0 Solving 108 + 21d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (12 + d)(9 + d) = 0Subproblem 1
Set the factor '(12 + d)' equal to zero and attempt to solve: Simplifying 12 + d = 0 Solving 12 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + d = 0 + -12 d = 0 + -12 Combine like terms: 0 + -12 = -12 d = -12 Simplifying d = -12Subproblem 2
Set the factor '(9 + d)' equal to zero and attempt to solve: Simplifying 9 + d = 0 Solving 9 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + d = 0 + -9 d = 0 + -9 Combine like terms: 0 + -9 = -9 d = -9 Simplifying d = -9Solution
d = {-12, -9}
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