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Simplifying 5k2 = -18k + 8 Reorder the terms: 5k2 = 8 + -18k Solving 5k2 = 8 + -18k Solving for variable 'k'. Reorder the terms: -8 + 18k + 5k2 = 8 + -18k + -8 + 18k Reorder the terms: -8 + 18k + 5k2 = 8 + -8 + -18k + 18k Combine like terms: 8 + -8 = 0 -8 + 18k + 5k2 = 0 + -18k + 18k -8 + 18k + 5k2 = -18k + 18k Combine like terms: -18k + 18k = 0 -8 + 18k + 5k2 = 0 Factor a trinomial. (-4 + -1k)(2 + -5k) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(2 + -5k)' equal to zero and attempt to solve: Simplifying 2 + -5k = 0 Solving 2 + -5k = 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 + -5k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5k = 0 + -2 -5k = 0 + -2 Combine like terms: 0 + -2 = -2 -5k = -2 Divide each side by '-5'. k = 0.4 Simplifying k = 0.4Solution
k = {-4, 0.4}
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