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Simplifying k2 = 4(4k + -15) Reorder the terms: k2 = 4(-15 + 4k) k2 = (-15 * 4 + 4k * 4) k2 = (-60 + 16k) Solving k2 = -60 + 16k Solving for variable 'k'. Reorder the terms: 60 + -16k + k2 = -60 + 16k + 60 + -16k Reorder the terms: 60 + -16k + k2 = -60 + 60 + 16k + -16k Combine like terms: -60 + 60 = 0 60 + -16k + k2 = 0 + 16k + -16k 60 + -16k + k2 = 16k + -16k Combine like terms: 16k + -16k = 0 60 + -16k + k2 = 0 Factor a trinomial. (6 + -1k)(10 + -1k) = 0Subproblem 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 '(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 = 10Solution
k = {6, 10}
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