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Simplifying d2 + -12d + -13 = 0 Reorder the terms: -13 + -12d + d2 = 0 Solving -13 + -12d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-1 + -1d)(13 + -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 '(13 + -1d)' equal to zero and attempt to solve: Simplifying 13 + -1d = 0 Solving 13 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1d = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1d = 0 + -13 -1d = 0 + -13 Combine like terms: 0 + -13 = -13 -1d = -13 Divide each side by '-1'. d = 13 Simplifying d = 13Solution
d = {-1, 13}
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