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Simplifying -16 = 2k + -5k2 Solving -16 = 2k + -5k2 Solving for variable 'k'. Reorder the terms: -16 + -2k + 5k2 = 2k + -2k + -5k2 + 5k2 Combine like terms: 2k + -2k = 0 -16 + -2k + 5k2 = 0 + -5k2 + 5k2 -16 + -2k + 5k2 = -5k2 + 5k2 Combine like terms: -5k2 + 5k2 = 0 -16 + -2k + 5k2 = 0 Factor a trinomial. (-8 + -5k)(2 + -1k) = 0Subproblem 1
Set the factor '(-8 + -5k)' equal to zero and attempt to solve: Simplifying -8 + -5k = 0 Solving -8 + -5k = 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 + -5k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5k = 0 + 8 -5k = 0 + 8 Combine like terms: 0 + 8 = 8 -5k = 8 Divide each side by '-5'. k = -1.6 Simplifying k = -1.6Subproblem 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 = {-1.6, 2}
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