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Simplifying k2 + 8k = 105 Reorder the terms: 8k + k2 = 105 Solving 8k + k2 = 105 Solving for variable 'k'. Reorder the terms: -105 + 8k + k2 = 105 + -105 Combine like terms: 105 + -105 = 0 -105 + 8k + k2 = 0 Factor a trinomial. (-15 + -1k)(7 + -1k) = 0Subproblem 1
Set the factor '(-15 + -1k)' equal to zero and attempt to solve: Simplifying -15 + -1k = 0 Solving -15 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1k = 0 + 15 -1k = 0 + 15 Combine like terms: 0 + 15 = 15 -1k = 15 Divide each side by '-1'. k = -15 Simplifying k = -15Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 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 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {-15, 7}
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