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Simplifying 45k2 + -445k + 360 = 0 Reorder the terms: 360 + -445k + 45k2 = 0 Solving 360 + -445k + 45k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5'. 5(72 + -89k + 9k2) = 0 Factor a trinomial. 5((8 + -9k)(9 + -1k)) = 0 Ignore the factor 5.Subproblem 1
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 = 0.8888888889Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 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 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Solution
k = {0.8888888889, 9}
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