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Simplifying 2k2 + -7k + -72 = 0 Reorder the terms: -72 + -7k + 2k2 = 0 Solving -72 + -7k + 2k2 = 0 Solving for variable 'k'. Factor a trinomial. (-9 + -2k)(8 + -1k) = 0Subproblem 1
Set the factor '(-9 + -2k)' equal to zero and attempt to solve: Simplifying -9 + -2k = 0 Solving -9 + -2k = 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 + -2k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2k = 0 + 9 -2k = 0 + 9 Combine like terms: 0 + 9 = 9 -2k = 9 Divide each side by '-2'. k = -4.5 Simplifying k = -4.5Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {-4.5, 8}
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