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Simplifying d2 + -5d + -5 = 9 Reorder the terms: -5 + -5d + d2 = 9 Solving -5 + -5d + d2 = 9 Solving for variable 'd'. Reorder the terms: -5 + -9 + -5d + d2 = 9 + -9 Combine like terms: -5 + -9 = -14 -14 + -5d + d2 = 9 + -9 Combine like terms: 9 + -9 = 0 -14 + -5d + d2 = 0 Factor a trinomial. (-2 + -1d)(7 + -1d) = 0Subproblem 1
Set the factor '(-2 + -1d)' equal to zero and attempt to solve: Simplifying -2 + -1d = 0 Solving -2 + -1d = 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 + -1d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 0 + 2 -1d = 0 + 2 Combine like terms: 0 + 2 = 2 -1d = 2 Divide each side by '-1'. d = -2 Simplifying d = -2Subproblem 2
Set the factor '(7 + -1d)' equal to zero and attempt to solve: Simplifying 7 + -1d = 0 Solving 7 + -1d = 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 + -1d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = 0 + -7 -1d = 0 + -7 Combine like terms: 0 + -7 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7Solution
d = {-2, 7}
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