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Simplifying 2k2 + 7k = 60 Reorder the terms: 7k + 2k2 = 60 Solving 7k + 2k2 = 60 Solving for variable 'k'. Reorder the terms: -60 + 7k + 2k2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 7k + 2k2 = 0 Factor a trinomial. (-15 + -2k)(4 + -1k) = 0Subproblem 1
Set the factor '(-15 + -2k)' equal to zero and attempt to solve: Simplifying -15 + -2k = 0 Solving -15 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2k = 0 + 15 -2k = 0 + 15 Combine like terms: 0 + 15 = 15 -2k = 15 Divide each side by '-2'. k = -7.5 Simplifying k = -7.5Subproblem 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 = {-7.5, 4}
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