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Simplifying 2k2 + -40 = -2k Reorder the terms: -40 + 2k2 = -2k Solving -40 + 2k2 = -2k Solving for variable 'k'. Reorder the terms: -40 + 2k + 2k2 = -2k + 2k Combine like terms: -2k + 2k = 0 -40 + 2k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + k + k2) = 0 Factor a trinomial. 2((-5 + -1k)(4 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1k)' equal to zero and attempt to solve: Simplifying -5 + -1k = 0 Solving -5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 0 + 5 -1k = 0 + 5 Combine like terms: 0 + 5 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {-5, 4}
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