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Simplifying 2k2 + -7k + -107 = -8 Reorder the terms: -107 + -7k + 2k2 = -8 Solving -107 + -7k + 2k2 = -8 Solving for variable 'k'. Reorder the terms: -107 + 8 + -7k + 2k2 = -8 + 8 Combine like terms: -107 + 8 = -99 -99 + -7k + 2k2 = -8 + 8 Combine like terms: -8 + 8 = 0 -99 + -7k + 2k2 = 0 Factor a trinomial. (-11 + -2k)(9 + -1k) = 0Subproblem 1
Set the factor '(-11 + -2k)' equal to zero and attempt to solve: Simplifying -11 + -2k = 0 Solving -11 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2k = 0 + 11 -2k = 0 + 11 Combine like terms: 0 + 11 = 11 -2k = 11 Divide each side by '-2'. k = -5.5 Simplifying k = -5.5Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Solution
k = {-5.5, 9}
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