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Simplifying 0 = 28 + -12d + -1d2 Solving 0 = 28 + -12d + -1d2 Solving for variable 'd'. Combine like terms: 0 + -28 = -28 -28 + 12d + d2 = 28 + -12d + -1d2 + -28 + 12d + d2 Reorder the terms: -28 + 12d + d2 = 28 + -28 + -12d + 12d + -1d2 + d2 Combine like terms: 28 + -28 = 0 -28 + 12d + d2 = 0 + -12d + 12d + -1d2 + d2 -28 + 12d + d2 = -12d + 12d + -1d2 + d2 Combine like terms: -12d + 12d = 0 -28 + 12d + d2 = 0 + -1d2 + d2 -28 + 12d + d2 = -1d2 + d2 Combine like terms: -1d2 + d2 = 0 -28 + 12d + d2 = 0 Factor a trinomial. (-14 + -1d)(2 + -1d) = 0Subproblem 1
Set the factor '(-14 + -1d)' equal to zero and attempt to solve: Simplifying -14 + -1d = 0 Solving -14 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1d = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1d = 0 + 14 -1d = 0 + 14 Combine like terms: 0 + 14 = 14 -1d = 14 Divide each side by '-1'. d = -14 Simplifying d = -14Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2Solution
d = {-14, 2}
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