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Simplifying -1d2 + 14d + -45 = 0 Reorder the terms: -45 + 14d + -1d2 = 0 Solving -45 + 14d + -1d2 = 0 Solving for variable 'd'. Factor a trinomial. (-9 + d)(5 + -1d) = 0Subproblem 1
Set the factor '(-9 + d)' equal to zero and attempt to solve: Simplifying -9 + d = 0 Solving -9 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + d = 0 + 9 d = 0 + 9 Combine like terms: 0 + 9 = 9 d = 9 Simplifying d = 9Subproblem 2
Set the factor '(5 + -1d)' equal to zero and attempt to solve: Simplifying 5 + -1d = 0 Solving 5 + -1d = 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 + -1d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1d = 0 + -5 -1d = 0 + -5 Combine like terms: 0 + -5 = -5 -1d = -5 Divide each side by '-1'. d = 5 Simplifying d = 5Solution
d = {9, 5}
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