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Simplifying (9d + 11)(d + 9) = 79 Reorder the terms: (11 + 9d)(d + 9) = 79 Reorder the terms: (11 + 9d)(9 + d) = 79 Multiply (11 + 9d) * (9 + d) (11(9 + d) + 9d * (9 + d)) = 79 ((9 * 11 + d * 11) + 9d * (9 + d)) = 79 ((99 + 11d) + 9d * (9 + d)) = 79 (99 + 11d + (9 * 9d + d * 9d)) = 79 (99 + 11d + (81d + 9d2)) = 79 Combine like terms: 11d + 81d = 92d (99 + 92d + 9d2) = 79 Solving 99 + 92d + 9d2 = 79 Solving for variable 'd'. Reorder the terms: 99 + -79 + 92d + 9d2 = 79 + -79 Combine like terms: 99 + -79 = 20 20 + 92d + 9d2 = 79 + -79 Combine like terms: 79 + -79 = 0 20 + 92d + 9d2 = 0 Factor a trinomial. (10 + d)(2 + 9d) = 0Subproblem 1
Set the factor '(10 + d)' equal to zero and attempt to solve: Simplifying 10 + d = 0 Solving 10 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + d = 0 + -10 d = 0 + -10 Combine like terms: 0 + -10 = -10 d = -10 Simplifying d = -10Subproblem 2
Set the factor '(2 + 9d)' equal to zero and attempt to solve: Simplifying 2 + 9d = 0 Solving 2 + 9d = 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 + 9d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9d = 0 + -2 9d = 0 + -2 Combine like terms: 0 + -2 = -2 9d = -2 Divide each side by '9'. d = -0.2222222222 Simplifying d = -0.2222222222Solution
d = {-10, -0.2222222222}
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