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Simplifying 3d2 + 44d = -96 Reorder the terms: 44d + 3d2 = -96 Solving 44d + 3d2 = -96 Solving for variable 'd'. Reorder the terms: 96 + 44d + 3d2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + 44d + 3d2 = 0 Factor a trinomial. (12 + d)(8 + 3d) = 0Subproblem 1
Set the factor '(12 + d)' equal to zero and attempt to solve: Simplifying 12 + d = 0 Solving 12 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + d = 0 + -12 d = 0 + -12 Combine like terms: 0 + -12 = -12 d = -12 Simplifying d = -12Subproblem 2
Set the factor '(8 + 3d)' equal to zero and attempt to solve: Simplifying 8 + 3d = 0 Solving 8 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3d = 0 + -8 3d = 0 + -8 Combine like terms: 0 + -8 = -8 3d = -8 Divide each side by '3'. d = -2.666666667 Simplifying d = -2.666666667Solution
d = {-12, -2.666666667}
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