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Simplifying d2 + -11d + -12 = 0 Reorder the terms: -12 + -11d + d2 = 0 Solving -12 + -11d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-1 + -1d)(12 + -1d) = 0Subproblem 1
Set the factor '(-1 + -1d)' equal to zero and attempt to solve: Simplifying -1 + -1d = 0 Solving -1 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1d = 0 + 1 -1d = 0 + 1 Combine like terms: 0 + 1 = 1 -1d = 1 Divide each side by '-1'. d = -1 Simplifying d = -1Subproblem 2
Set the factor '(12 + -1d)' equal to zero and attempt to solve: Simplifying 12 + -1d = 0 Solving 12 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1d = 0 + -12 -1d = 0 + -12 Combine like terms: 0 + -12 = -12 -1d = -12 Divide each side by '-1'. d = 12 Simplifying d = 12Solution
d = {-1, 12}
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