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Simplifying 18k2 + -48k + -40 = 0 Reorder the terms: -40 + -48k + 18k2 = 0 Solving -40 + -48k + 18k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -24k + 9k2) = 0 Factor a trinomial. 2((-2 + -3k)(10 + -3k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3k)' equal to zero and attempt to solve: Simplifying -2 + -3k = 0 Solving -2 + -3k = 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 + -3k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3k = 0 + 2 -3k = 0 + 2 Combine like terms: 0 + 2 = 2 -3k = 2 Divide each side by '-3'. k = -0.6666666667 Simplifying k = -0.6666666667Subproblem 2
Set the factor '(10 + -3k)' equal to zero and attempt to solve: Simplifying 10 + -3k = 0 Solving 10 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = 0 + -10 -3k = 0 + -10 Combine like terms: 0 + -10 = -10 -3k = -10 Divide each side by '-3'. k = 3.333333333 Simplifying k = 3.333333333Solution
k = {-0.6666666667, 3.333333333}
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