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Simplifying d2 + -130d + 3325 = 0 Reorder the terms: 3325 + -130d + d2 = 0 Solving 3325 + -130d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (35 + -1d)(95 + -1d) = 0Subproblem 1
Set the factor '(35 + -1d)' equal to zero and attempt to solve: Simplifying 35 + -1d = 0 Solving 35 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1d = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1d = 0 + -35 -1d = 0 + -35 Combine like terms: 0 + -35 = -35 -1d = -35 Divide each side by '-1'. d = 35 Simplifying d = 35Subproblem 2
Set the factor '(95 + -1d)' equal to zero and attempt to solve: Simplifying 95 + -1d = 0 Solving 95 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1d = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1d = 0 + -95 -1d = 0 + -95 Combine like terms: 0 + -95 = -95 -1d = -95 Divide each side by '-1'. d = 95 Simplifying d = 95Solution
d = {35, 95}
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