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Simplifying 2k2 + -112 = 2k Reorder the terms: -112 + 2k2 = 2k Solving -112 + 2k2 = 2k Solving for variable 'k'. Reorder the terms: -112 + -2k + 2k2 = 2k + -2k Combine like terms: 2k + -2k = 0 -112 + -2k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-56 + -1k + k2) = 0 Factor a trinomial. 2((-7 + -1k)(8 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1k)' equal to zero and attempt to solve: Simplifying -7 + -1k = 0 Solving -7 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1k = 0 + 7 -1k = 0 + 7 Combine like terms: 0 + 7 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7Subproblem 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 = {-7, 8}
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