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Simplifying 5k2 + -1k + 4 = 8 Reorder the terms: 4 + -1k + 5k2 = 8 Solving 4 + -1k + 5k2 = 8 Solving for variable 'k'. Reorder the terms: 4 + -8 + -1k + 5k2 = 8 + -8 Combine like terms: 4 + -8 = -4 -4 + -1k + 5k2 = 8 + -8 Combine like terms: 8 + -8 = 0 -4 + -1k + 5k2 = 0 Factor a trinomial. (-4 + -5k)(1 + -1k) = 0Subproblem 1
Set the factor '(-4 + -5k)' equal to zero and attempt to solve: Simplifying -4 + -5k = 0 Solving -4 + -5k = 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 + -5k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5k = 0 + 4 -5k = 0 + 4 Combine like terms: 0 + 4 = 4 -5k = 4 Divide each side by '-5'. k = -0.8 Simplifying k = -0.8Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Solution
k = {-0.8, 1}
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