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Simplifying 3d2 + -10d + 7 = 0 Reorder the terms: 7 + -10d + 3d2 = 0 Solving 7 + -10d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + -1d)(7 + -3d) = 0Subproblem 1
Set the factor '(1 + -1d)' equal to zero and attempt to solve: Simplifying 1 + -1d = 0 Solving 1 + -1d = 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 + -1d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 0 + -1 -1d = 0 + -1 Combine like terms: 0 + -1 = -1 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1Subproblem 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 = {1, 2.333333333}
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