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Simplifying 6k2 + -36k = 96 Reorder the terms: -36k + 6k2 = 96 Solving -36k + 6k2 = 96 Solving for variable 'k'. Reorder the terms: -96 + -36k + 6k2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + -36k + 6k2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-16 + -6k + k2) = 0 Factor a trinomial. 6((-2 + -1k)(8 + -1k)) = 0 Ignore the factor 6.Subproblem 1
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 = -2Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {-2, 8}
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