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Simplifying 0 = 16 + -8k + k2 Solving 0 = 16 + -8k + k2 Solving for variable 'k'. Combine like terms: 0 + -16 = -16 -16 + 8k + -1k2 = 16 + -8k + k2 + -16 + 8k + -1k2 Reorder the terms: -16 + 8k + -1k2 = 16 + -16 + -8k + 8k + k2 + -1k2 Combine like terms: 16 + -16 = 0 -16 + 8k + -1k2 = 0 + -8k + 8k + k2 + -1k2 -16 + 8k + -1k2 = -8k + 8k + k2 + -1k2 Combine like terms: -8k + 8k = 0 -16 + 8k + -1k2 = 0 + k2 + -1k2 -16 + 8k + -1k2 = k2 + -1k2 Combine like terms: k2 + -1k2 = 0 -16 + 8k + -1k2 = 0 Factor a trinomial. (-4 + k)(4 + -1k) = 0Subproblem 1
Set the factor '(-4 + k)' equal to zero and attempt to solve: Simplifying -4 + k = 0 Solving -4 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + k = 0 + 4 k = 0 + 4 Combine like terms: 0 + 4 = 4 k = 4 Simplifying k = 4Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {4, 4}
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