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Simplifying k(k + 4) = 60 Reorder the terms: k(4 + k) = 60 (4 * k + k * k) = 60 (4k + k2) = 60 Solving 4k + k2 = 60 Solving for variable 'k'. Reorder the terms: -60 + 4k + k2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 4k + k2 = 0 Factor a trinomial. (-10 + -1k)(6 + -1k) = 0Subproblem 1
Set the factor '(-10 + -1k)' equal to zero and attempt to solve: Simplifying -10 + -1k = 0 Solving -10 + -1k = 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 + -1k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1k = 0 + 10 -1k = 0 + 10 Combine like terms: 0 + 10 = 10 -1k = 10 Divide each side by '-1'. k = -10 Simplifying k = -10Subproblem 2
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 = 6Solution
k = {-10, 6}
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