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Simplifying 15k2 + 159k + 216 = 0 Reorder the terms: 216 + 159k + 15k2 = 0 Solving 216 + 159k + 15k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3'. 3(72 + 53k + 5k2) = 0 Factor a trinomial. 3((9 + k)(8 + 5k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + k)' equal to zero and attempt to solve: Simplifying 9 + k = 0 Solving 9 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + k = 0 + -9 k = 0 + -9 Combine like terms: 0 + -9 = -9 k = -9 Simplifying k = -9Subproblem 2
Set the factor '(8 + 5k)' equal to zero and attempt to solve: Simplifying 8 + 5k = 0 Solving 8 + 5k = 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 + 5k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = 0 + -8 5k = 0 + -8 Combine like terms: 0 + -8 = -8 5k = -8 Divide each side by '5'. k = -1.6 Simplifying k = -1.6Solution
k = {-9, -1.6}
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