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Simplifying 9k2 + -65k + -56 = 0 Reorder the terms: -56 + -65k + 9k2 = 0 Solving -56 + -65k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (-7 + -9k)(8 + -1k) = 0Subproblem 1
Set the factor '(-7 + -9k)' equal to zero and attempt to solve: Simplifying -7 + -9k = 0 Solving -7 + -9k = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9k = 0 + 7 -9k = 0 + 7 Combine like terms: 0 + 7 = 7 -9k = 7 Divide each side by '-9'. k = -0.7777777778 Simplifying k = -0.7777777778Subproblem 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 = {-0.7777777778, 8}
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