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Simplifying 7k2 + -13k + -2 = 0 Reorder the terms: -2 + -13k + 7k2 = 0 Solving -2 + -13k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-1 + -7k)(2 + -1k) = 0Subproblem 1
Set the factor '(-1 + -7k)' equal to zero and attempt to solve: Simplifying -1 + -7k = 0 Solving -1 + -7k = 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 + -7k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7k = 0 + 1 -7k = 0 + 1 Combine like terms: 0 + 1 = 1 -7k = 1 Divide each side by '-7'. k = -0.1428571429 Simplifying k = -0.1428571429Subproblem 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 = {-0.1428571429, 2}
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