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Simplifying 20 + -17d + -10d2 = 0 Solving 20 + -17d + -10d2 = 0 Solving for variable 'd'. Factor a trinomial. (4 + -5d)(5 + 2d) = 0Subproblem 1
Set the factor '(4 + -5d)' equal to zero and attempt to solve: Simplifying 4 + -5d = 0 Solving 4 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5d = 0 + -4 -5d = 0 + -4 Combine like terms: 0 + -4 = -4 -5d = -4 Divide each side by '-5'. d = 0.8 Simplifying d = 0.8Subproblem 2
Set the factor '(5 + 2d)' equal to zero and attempt to solve: Simplifying 5 + 2d = 0 Solving 5 + 2d = 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 + 2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 0 + -5 2d = 0 + -5 Combine like terms: 0 + -5 = -5 2d = -5 Divide each side by '2'. d = -2.5 Simplifying d = -2.5Solution
d = {0.8, -2.5}
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