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Simplifying k2 + 8k = 84 Reorder the terms: 8k + k2 = 84 Solving 8k + k2 = 84 Solving for variable 'k'. Reorder the terms: -84 + 8k + k2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 8k + k2 = 0 Factor a trinomial. (-14 + -1k)(6 + -1k) = 0Subproblem 1
Set the factor '(-14 + -1k)' equal to zero and attempt to solve: Simplifying -14 + -1k = 0 Solving -14 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1k = 0 + 14 -1k = 0 + 14 Combine like terms: 0 + 14 = 14 -1k = 14 Divide each side by '-1'. k = -14 Simplifying k = -14Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve: Simplifying 6 + -1k = 0 Solving 6 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 0 + -6 -1k = 0 + -6 Combine like terms: 0 + -6 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6Solution
k = {-14, 6}
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