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Simplifying d2 + -20d + 99 = 0 Reorder the terms: 99 + -20d + d2 = 0 Solving 99 + -20d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (9 + -1d)(11 + -1d) = 0Subproblem 1
Set the factor '(9 + -1d)' equal to zero and attempt to solve: Simplifying 9 + -1d = 0 Solving 9 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1d = 0 + -9 -1d = 0 + -9 Combine like terms: 0 + -9 = -9 -1d = -9 Divide each side by '-1'. d = 9 Simplifying d = 9Subproblem 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 = {9, 11}
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