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Simplifying 18k2 + 196k + 160 = 0 Reorder the terms: 160 + 196k + 18k2 = 0 Solving 160 + 196k + 18k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(80 + 98k + 9k2) = 0 Factor a trinomial. 2((10 + k)(8 + 9k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + k)' equal to zero and attempt to solve: Simplifying 10 + k = 0 Solving 10 + k = 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 + k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + k = 0 + -10 k = 0 + -10 Combine like terms: 0 + -10 = -10 k = -10 Simplifying k = -10Subproblem 2
Set the factor '(8 + 9k)' equal to zero and attempt to solve: Simplifying 8 + 9k = 0 Solving 8 + 9k = 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 + 9k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9k = 0 + -8 9k = 0 + -8 Combine like terms: 0 + -8 = -8 9k = -8 Divide each side by '9'. k = -0.8888888889 Simplifying k = -0.8888888889Solution
k = {-10, -0.8888888889}
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