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Simplifying 7k2 + 10k + -8 = 0 Reorder the terms: -8 + 10k + 7k2 = 0 Solving -8 + 10k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-2 + -1k)(4 + -7k) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(4 + -7k)' equal to zero and attempt to solve: Simplifying 4 + -7k = 0 Solving 4 + -7k = 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 + -7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7k = 0 + -4 -7k = 0 + -4 Combine like terms: 0 + -4 = -4 -7k = -4 Divide each side by '-7'. k = 0.5714285714 Simplifying k = 0.5714285714Solution
k = {-2, 0.5714285714}
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