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Simplifying 6d2 + 29d + 28 = 0 Reorder the terms: 28 + 29d + 6d2 = 0 Solving 28 + 29d + 6d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + 2d)(4 + 3d) = 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 '(4 + 3d)' equal to zero and attempt to solve: Simplifying 4 + 3d = 0 Solving 4 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3d = 0 + -4 3d = 0 + -4 Combine like terms: 0 + -4 = -4 3d = -4 Divide each side by '3'. d = -1.333333333 Simplifying d = -1.333333333Solution
d = {-3.5, -1.333333333}
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