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Simplifying (8d + 3)(5d + 2) = 0 Reorder the terms: (3 + 8d)(5d + 2) = 0 Reorder the terms: (3 + 8d)(2 + 5d) = 0 Multiply (3 + 8d) * (2 + 5d) (3(2 + 5d) + 8d * (2 + 5d)) = 0 ((2 * 3 + 5d * 3) + 8d * (2 + 5d)) = 0 ((6 + 15d) + 8d * (2 + 5d)) = 0 (6 + 15d + (2 * 8d + 5d * 8d)) = 0 (6 + 15d + (16d + 40d2)) = 0 Combine like terms: 15d + 16d = 31d (6 + 31d + 40d2) = 0 Solving 6 + 31d + 40d2 = 0 Solving for variable 'd'. Factor a trinomial. (2 + 5d)(3 + 8d) = 0Subproblem 1
Set the factor '(2 + 5d)' equal to zero and attempt to solve: Simplifying 2 + 5d = 0 Solving 2 + 5d = 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 + 5d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 0 + -2 5d = 0 + -2 Combine like terms: 0 + -2 = -2 5d = -2 Divide each side by '5'. d = -0.4 Simplifying d = -0.4Subproblem 2
Set the factor '(3 + 8d)' equal to zero and attempt to solve: Simplifying 3 + 8d = 0 Solving 3 + 8d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8d = 0 + -3 8d = 0 + -3 Combine like terms: 0 + -3 = -3 8d = -3 Divide each side by '8'. d = -0.375 Simplifying d = -0.375Solution
d = {-0.4, -0.375}
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