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Simplifying 96d2 + -76d + -77 = 0 Reorder the terms: -77 + -76d + 96d2 = 0 Solving -77 + -76d + 96d2 = 0 Solving for variable 'd'. Factor a trinomial. (-7 + -12d)(11 + -8d) = 0Subproblem 1
Set the factor '(-7 + -12d)' equal to zero and attempt to solve: Simplifying -7 + -12d = 0 Solving -7 + -12d = 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 + -12d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -12d = 0 + 7 -12d = 0 + 7 Combine like terms: 0 + 7 = 7 -12d = 7 Divide each side by '-12'. d = -0.5833333333 Simplifying d = -0.5833333333Subproblem 2
Set the factor '(11 + -8d)' equal to zero and attempt to solve: Simplifying 11 + -8d = 0 Solving 11 + -8d = 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 + -8d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8d = 0 + -11 -8d = 0 + -11 Combine like terms: 0 + -11 = -11 -8d = -11 Divide each side by '-8'. d = 1.375 Simplifying d = 1.375Solution
d = {-0.5833333333, 1.375}
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