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Simplifying 2k2 = 6k + -4 Reorder the terms: 2k2 = -4 + 6k Solving 2k2 = -4 + 6k Solving for variable 'k'. Reorder the terms: 4 + -6k + 2k2 = -4 + 6k + 4 + -6k Reorder the terms: 4 + -6k + 2k2 = -4 + 4 + 6k + -6k Combine like terms: -4 + 4 = 0 4 + -6k + 2k2 = 0 + 6k + -6k 4 + -6k + 2k2 = 6k + -6k Combine like terms: 6k + -6k = 0 4 + -6k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3k + k2) = 0 Factor a trinomial. 2((1 + -1k)(2 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Subproblem 2
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 = 2Solution
k = {1, 2}
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