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Simplifying 3d2 + 22d + 35 = 0 Reorder the terms: 35 + 22d + 3d2 = 0 Solving 35 + 22d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (5 + d)(7 + 3d) = 0Subproblem 1
Set the factor '(5 + d)' equal to zero and attempt to solve: Simplifying 5 + d = 0 Solving 5 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + d = 0 + -5 d = 0 + -5 Combine like terms: 0 + -5 = -5 d = -5 Simplifying d = -5Subproblem 2
Set the factor '(7 + 3d)' equal to zero and attempt to solve: Simplifying 7 + 3d = 0 Solving 7 + 3d = 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 + 3d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 0 + -7 3d = 0 + -7 Combine like terms: 0 + -7 = -7 3d = -7 Divide each side by '3'. d = -2.333333333 Simplifying d = -2.333333333Solution
d = {-5, -2.333333333}
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