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Simplifying (d + 9)(d + 1) = 0 Reorder the terms: (9 + d)(d + 1) = 0 Reorder the terms: (9 + d)(1 + d) = 0 Multiply (9 + d) * (1 + d) (9(1 + d) + d(1 + d)) = 0 ((1 * 9 + d * 9) + d(1 + d)) = 0 ((9 + 9d) + d(1 + d)) = 0 (9 + 9d + (1 * d + d * d)) = 0 (9 + 9d + (1d + d2)) = 0 Combine like terms: 9d + 1d = 10d (9 + 10d + d2) = 0 Solving 9 + 10d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (9 + d)(1 + d) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(1 + d)' equal to zero and attempt to solve: Simplifying 1 + d = 0 Solving 1 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d = 0 + -1 d = 0 + -1 Combine like terms: 0 + -1 = -1 d = -1 Simplifying d = -1Solution
d = {-9, -1}
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