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Simplifying 5k2 = k + 18 Reorder the terms: 5k2 = 18 + k Solving 5k2 = 18 + k Solving for variable 'k'. Reorder the terms: -18 + -1k + 5k2 = 18 + k + -18 + -1k Reorder the terms: -18 + -1k + 5k2 = 18 + -18 + k + -1k Combine like terms: 18 + -18 = 0 -18 + -1k + 5k2 = 0 + k + -1k -18 + -1k + 5k2 = k + -1k Combine like terms: k + -1k = 0 -18 + -1k + 5k2 = 0 Factor a trinomial. (-9 + -5k)(2 + -1k) = 0Subproblem 1
Set the factor '(-9 + -5k)' equal to zero and attempt to solve: Simplifying -9 + -5k = 0 Solving -9 + -5k = 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 + -5k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5k = 0 + 9 -5k = 0 + 9 Combine like terms: 0 + 9 = 9 -5k = 9 Divide each side by '-5'. k = -1.8 Simplifying k = -1.8Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Solution
k = {-1.8, 2}
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