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Simplifying 3d2 + -31d + 10 = 0 Reorder the terms: 10 + -31d + 3d2 = 0 Solving 10 + -31d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + -3d)(10 + -1d) = 0Subproblem 1
Set the factor '(1 + -3d)' equal to zero and attempt to solve: Simplifying 1 + -3d = 0 Solving 1 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3d = 0 + -1 -3d = 0 + -1 Combine like terms: 0 + -1 = -1 -3d = -1 Divide each side by '-3'. d = 0.3333333333 Simplifying d = 0.3333333333Subproblem 2
Set the factor '(10 + -1d)' equal to zero and attempt to solve: Simplifying 10 + -1d = 0 Solving 10 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1d = 0 + -10 -1d = 0 + -10 Combine like terms: 0 + -10 = -10 -1d = -10 Divide each side by '-1'. d = 10 Simplifying d = 10Solution
d = {0.3333333333, 10}
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