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Simplifying 5k2 + -2k + -72 = 0 Reorder the terms: -72 + -2k + 5k2 = 0 Solving -72 + -2k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-18 + -5k)(4 + -1k) = 0Subproblem 1
Set the factor '(-18 + -5k)' equal to zero and attempt to solve: Simplifying -18 + -5k = 0 Solving -18 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -5k = 0 + 18 -5k = 0 + 18 Combine like terms: 0 + 18 = 18 -5k = 18 Divide each side by '-5'. k = -3.6 Simplifying k = -3.6Subproblem 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 = {-3.6, 4}
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