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Simplifying 4d2 = -121 + -44d Solving 4d2 = -121 + -44d Solving for variable 'd'. Reorder the terms: 121 + 44d + 4d2 = -121 + -44d + 121 + 44d Reorder the terms: 121 + 44d + 4d2 = -121 + 121 + -44d + 44d Combine like terms: -121 + 121 = 0 121 + 44d + 4d2 = 0 + -44d + 44d 121 + 44d + 4d2 = -44d + 44d Combine like terms: -44d + 44d = 0 121 + 44d + 4d2 = 0 Factor a trinomial. (11 + 2d)(11 + 2d) = 0Subproblem 1
Set the factor '(11 + 2d)' equal to zero and attempt to solve: Simplifying 11 + 2d = 0 Solving 11 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2d = 0 + -11 2d = 0 + -11 Combine like terms: 0 + -11 = -11 2d = -11 Divide each side by '2'. d = -5.5 Simplifying d = -5.5Subproblem 2
Set the factor '(11 + 2d)' equal to zero and attempt to solve: Simplifying 11 + 2d = 0 Solving 11 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2d = 0 + -11 2d = 0 + -11 Combine like terms: 0 + -11 = -11 2d = -11 Divide each side by '2'. d = -5.5 Simplifying d = -5.5Solution
d = {-5.5, -5.5}
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