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Simplifying 5k2 + 20k = 60 Reorder the terms: 20k + 5k2 = 60 Solving 20k + 5k2 = 60 Solving for variable 'k'. Reorder the terms: -60 + 20k + 5k2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 20k + 5k2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + 4k + k2) = 0 Factor a trinomial. 5((-6 + -1k)(2 + -1k)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + -1k)' equal to zero and attempt to solve: Simplifying -6 + -1k = 0 Solving -6 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = 0 + 6 -1k = 0 + 6 Combine like terms: 0 + 6 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6Subproblem 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 = {-6, 2}
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