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Simplifying 3d2 + 11d + 10 = 70 Reorder the terms: 10 + 11d + 3d2 = 70 Solving 10 + 11d + 3d2 = 70 Solving for variable 'd'. Reorder the terms: 10 + -70 + 11d + 3d2 = 70 + -70 Combine like terms: 10 + -70 = -60 -60 + 11d + 3d2 = 70 + -70 Combine like terms: 70 + -70 = 0 -60 + 11d + 3d2 = 0 Factor a trinomial. (-20 + -3d)(3 + -1d) = 0Subproblem 1
Set the factor '(-20 + -3d)' equal to zero and attempt to solve: Simplifying -20 + -3d = 0 Solving -20 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3d = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3d = 0 + 20 -3d = 0 + 20 Combine like terms: 0 + 20 = 20 -3d = 20 Divide each side by '-3'. d = -6.666666667 Simplifying d = -6.666666667Subproblem 2
Set the factor '(3 + -1d)' equal to zero and attempt to solve: Simplifying 3 + -1d = 0 Solving 3 + -1d = 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 + -1d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1d = 0 + -3 -1d = 0 + -3 Combine like terms: 0 + -3 = -3 -1d = -3 Divide each side by '-1'. d = 3 Simplifying d = 3Solution
d = {-6.666666667, 3}
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