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Simplifying 7k2 + k + -8 = 0 Reorder the terms: -8 + k + 7k2 = 0 Solving -8 + k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-8 + -7k)(1 + -1k) = 0Subproblem 1
Set the factor '(-8 + -7k)' equal to zero and attempt to solve: Simplifying -8 + -7k = 0 Solving -8 + -7k = 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 + -7k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7k = 0 + 8 -7k = 0 + 8 Combine like terms: 0 + 8 = 8 -7k = 8 Divide each side by '-7'. k = -1.142857143 Simplifying k = -1.142857143Subproblem 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 = {-1.142857143, 1}
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