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Simplifying 4k2 + 6k = 18 Reorder the terms: 6k + 4k2 = 18 Solving 6k + 4k2 = 18 Solving for variable 'k'. Reorder the terms: -18 + 6k + 4k2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 6k + 4k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 3k + 2k2) = 0 Factor a trinomial. 2((-3 + -1k)(3 + -2k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1k)' equal to zero and attempt to solve: Simplifying -3 + -1k = 0 Solving -3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 0 + 3 -1k = 0 + 3 Combine like terms: 0 + 3 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3Subproblem 2
Set the factor '(3 + -2k)' equal to zero and attempt to solve: Simplifying 3 + -2k = 0 Solving 3 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = 0 + -3 -2k = 0 + -3 Combine like terms: 0 + -3 = -3 -2k = -3 Divide each side by '-2'. k = 1.5 Simplifying k = 1.5Solution
k = {-3, 1.5}
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