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Simplifying 5k2 = -9k + 18 Reorder the terms: 5k2 = 18 + -9k Solving 5k2 = 18 + -9k Solving for variable 'k'. Reorder the terms: -18 + 9k + 5k2 = 18 + -9k + -18 + 9k Reorder the terms: -18 + 9k + 5k2 = 18 + -18 + -9k + 9k Combine like terms: 18 + -18 = 0 -18 + 9k + 5k2 = 0 + -9k + 9k -18 + 9k + 5k2 = -9k + 9k Combine like terms: -9k + 9k = 0 -18 + 9k + 5k2 = 0 Factor a trinomial. (-3 + -1k)(6 + -5k) = 0Subproblem 1
Set the factor '(-3 + -1k)' equal to zero and attempt to solve: Simplifying -3 + -1k = 0 Solving -3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 0 + 3 -1k = 0 + 3 Combine like terms: 0 + 3 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3Subproblem 2
Set the factor '(6 + -5k)' equal to zero and attempt to solve: Simplifying 6 + -5k = 0 Solving 6 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5k = 0 + -6 -5k = 0 + -6 Combine like terms: 0 + -6 = -6 -5k = -6 Divide each side by '-5'. k = 1.2 Simplifying k = 1.2Solution
k = {-3, 1.2}
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