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Simplifying -1d2 + 18d + -81 = 0 Reorder the terms: -81 + 18d + -1d2 = 0 Solving -81 + 18d + -1d2 = 0 Solving for variable 'd'. Factor a trinomial. (-9 + d)(9 + -1d) = 0Subproblem 1
Set the factor '(-9 + d)' equal to zero and attempt to solve: Simplifying -9 + d = 0 Solving -9 + d = 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 + d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + d = 0 + 9 d = 0 + 9 Combine like terms: 0 + 9 = 9 d = 9 Simplifying d = 9Subproblem 2
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 = 9Solution
d = {9, 9}
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