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Simplifying k2 + -1k = 72 Reorder the terms: -1k + k2 = 72 Solving -1k + k2 = 72 Solving for variable 'k'. Reorder the terms: -72 + -1k + k2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -1k + k2 = 0 Factor a trinomial. (-8 + -1k)(9 + -1k) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 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 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Solution
k = {-8, 9}
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