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Simplifying (2d + 7)(8d + 7) = 0 Reorder the terms: (7 + 2d)(8d + 7) = 0 Reorder the terms: (7 + 2d)(7 + 8d) = 0 Multiply (7 + 2d) * (7 + 8d) (7(7 + 8d) + 2d * (7 + 8d)) = 0 ((7 * 7 + 8d * 7) + 2d * (7 + 8d)) = 0 ((49 + 56d) + 2d * (7 + 8d)) = 0 (49 + 56d + (7 * 2d + 8d * 2d)) = 0 (49 + 56d + (14d + 16d2)) = 0 Combine like terms: 56d + 14d = 70d (49 + 70d + 16d2) = 0 Solving 49 + 70d + 16d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + 2d)(7 + 8d) = 0Subproblem 1
Set the factor '(7 + 2d)' equal to zero and attempt to solve: Simplifying 7 + 2d = 0 Solving 7 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 0 + -7 2d = 0 + -7 Combine like terms: 0 + -7 = -7 2d = -7 Divide each side by '2'. d = -3.5 Simplifying d = -3.5Subproblem 2
Set the factor '(7 + 8d)' equal to zero and attempt to solve: Simplifying 7 + 8d = 0 Solving 7 + 8d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8d = 0 + -7 8d = 0 + -7 Combine like terms: 0 + -7 = -7 8d = -7 Divide each side by '8'. d = -0.875 Simplifying d = -0.875Solution
d = {-3.5, -0.875}
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