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Simplifying 2k2 + -96 = 4k Reorder the terms: -96 + 2k2 = 4k Solving -96 + 2k2 = 4k Solving for variable 'k'. Reorder the terms: -96 + -4k + 2k2 = 4k + -4k Combine like terms: 4k + -4k = 0 -96 + -4k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + -2k + k2) = 0 Factor a trinomial. 2((-6 + -1k)(8 + -1k)) = 0 Ignore the factor 2.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 '(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 = {-6, 8}
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