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Simplifying k2 + -12k + -288 = 0 Reorder the terms: -288 + -12k + k2 = 0 Solving -288 + -12k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-12 + -1k)(24 + -1k) = 0Subproblem 1
Set the factor '(-12 + -1k)' equal to zero and attempt to solve: Simplifying -12 + -1k = 0 Solving -12 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1k = 0 + 12 -1k = 0 + 12 Combine like terms: 0 + 12 = 12 -1k = 12 Divide each side by '-1'. k = -12 Simplifying k = -12Subproblem 2
Set the factor '(24 + -1k)' equal to zero and attempt to solve: Simplifying 24 + -1k = 0 Solving 24 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1k = 0 + -24 -1k = 0 + -24 Combine like terms: 0 + -24 = -24 -1k = -24 Divide each side by '-1'. k = 24 Simplifying k = 24Solution
k = {-12, 24}
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