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Simplifying 55d2 + -103d + 24 = 0 Reorder the terms: 24 + -103d + 55d2 = 0 Solving 24 + -103d + 55d2 = 0 Solving for variable 'd'. Factor a trinomial. (3 + -11d)(8 + -5d) = 0Subproblem 1
Set the factor '(3 + -11d)' equal to zero and attempt to solve: Simplifying 3 + -11d = 0 Solving 3 + -11d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -11d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11d = 0 + -3 -11d = 0 + -3 Combine like terms: 0 + -3 = -3 -11d = -3 Divide each side by '-11'. d = 0.2727272727 Simplifying d = 0.2727272727Subproblem 2
Set the factor '(8 + -5d)' equal to zero and attempt to solve: Simplifying 8 + -5d = 0 Solving 8 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5d = 0 + -8 -5d = 0 + -8 Combine like terms: 0 + -8 = -8 -5d = -8 Divide each side by '-5'. d = 1.6 Simplifying d = 1.6Solution
d = {0.2727272727, 1.6}
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