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Simplifying 7k2 + 26k + -8 = 0 Reorder the terms: -8 + 26k + 7k2 = 0 Solving -8 + 26k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -1k)(2 + -7k) = 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 + -7k)' equal to zero and attempt to solve: Simplifying 2 + -7k = 0 Solving 2 + -7k = 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 + -7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7k = 0 + -2 -7k = 0 + -2 Combine like terms: 0 + -2 = -2 -7k = -2 Divide each side by '-7'. k = 0.2857142857 Simplifying k = 0.2857142857Solution
k = {-4, 0.2857142857}
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