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Simplifying -3d2 + -13d + 10 = 0 Reorder the terms: 10 + -13d + -3d2 = 0 Solving 10 + -13d + -3d2 = 0 Solving for variable 'd'. Factor a trinomial. (2 + -3d)(5 + d) = 0Subproblem 1
Set the factor '(2 + -3d)' equal to zero and attempt to solve: Simplifying 2 + -3d = 0 Solving 2 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3d = 0 + -2 -3d = 0 + -2 Combine like terms: 0 + -2 = -2 -3d = -2 Divide each side by '-3'. d = 0.6666666667 Simplifying d = 0.6666666667Subproblem 2
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 = -5Solution
d = {0.6666666667, -5}
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