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Simplifying 7k2 + -66k + 80 = 0 Reorder the terms: 80 + -66k + 7k2 = 0 Solving 80 + -66k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (10 + -7k)(8 + -1k) = 0Subproblem 1
Set the factor '(10 + -7k)' equal to zero and attempt to solve: Simplifying 10 + -7k = 0 Solving 10 + -7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7k = 0 + -10 -7k = 0 + -10 Combine like terms: 0 + -10 = -10 -7k = -10 Divide each side by '-7'. k = 1.428571429 Simplifying k = 1.428571429Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 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 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {1.428571429, 8}
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