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Simplifying 10 = -13d + -4d2 Solving 10 = -13d + -4d2 Solving for variable 'd'. Reorder the terms: 10 + 13d + 4d2 = -13d + 13d + -4d2 + 4d2 Combine like terms: -13d + 13d = 0 10 + 13d + 4d2 = 0 + -4d2 + 4d2 10 + 13d + 4d2 = -4d2 + 4d2 Combine like terms: -4d2 + 4d2 = 0 10 + 13d + 4d2 = 0 Factor a trinomial. (2 + d)(5 + 4d) = 0Subproblem 1
Set the factor '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 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 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Subproblem 2
Set the factor '(5 + 4d)' equal to zero and attempt to solve: Simplifying 5 + 4d = 0 Solving 5 + 4d = 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 + 4d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4d = 0 + -5 4d = 0 + -5 Combine like terms: 0 + -5 = -5 4d = -5 Divide each side by '4'. d = -1.25 Simplifying d = -1.25Solution
d = {-2, -1.25}
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