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Simplifying 8k2 + -73k + 72 = 0 Reorder the terms: 72 + -73k + 8k2 = 0 Solving 72 + -73k + 8k2 = 0 Solving for variable 'k'. Factor a trinomial. (9 + -8k)(8 + -1k) = 0Subproblem 1
Set the factor '(9 + -8k)' equal to zero and attempt to solve: Simplifying 9 + -8k = 0 Solving 9 + -8k = 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 + -8k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8k = 0 + -9 -8k = 0 + -9 Combine like terms: 0 + -9 = -9 -8k = -9 Divide each side by '-8'. k = 1.125 Simplifying k = 1.125Subproblem 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 = {1.125, 8}
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