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Simplifying d2 + -4d + -77 = 0 Reorder the terms: -77 + -4d + d2 = 0 Solving -77 + -4d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-7 + -1d)(11 + -1d) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(11 + -1d)' equal to zero and attempt to solve: Simplifying 11 + -1d = 0 Solving 11 + -1d = 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 + -1d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1d = 0 + -11 -1d = 0 + -11 Combine like terms: 0 + -11 = -11 -1d = -11 Divide each side by '-1'. d = 11 Simplifying d = 11Solution
d = {-7, 11}
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