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Simplifying 7k2 + -48k + 80 = 0 Reorder the terms: 80 + -48k + 7k2 = 0 Solving 80 + -48k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (20 + -7k)(4 + -1k) = 0Subproblem 1
Set the factor '(20 + -7k)' equal to zero and attempt to solve: Simplifying 20 + -7k = 0 Solving 20 + -7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7k = 0 + -20 -7k = 0 + -20 Combine like terms: 0 + -20 = -20 -7k = -20 Divide each side by '-7'. k = 2.857142857 Simplifying k = 2.857142857Subproblem 2
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 = 4Solution
k = {2.857142857, 4}
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