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Simplifying 42k2 + -474k + 540 = 0 Reorder the terms: 540 + -474k + 42k2 = 0 Solving 540 + -474k + 42k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6'. 6(90 + -79k + 7k2) = 0 Factor a trinomial. 6((9 + -7k)(10 + -1k)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(9 + -7k)' equal to zero and attempt to solve: Simplifying 9 + -7k = 0 Solving 9 + -7k = 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 + -7k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7k = 0 + -9 -7k = 0 + -9 Combine like terms: 0 + -9 = -9 -7k = -9 Divide each side by '-7'. k = 1.285714286 Simplifying k = 1.285714286Subproblem 2
Set the factor '(10 + -1k)' equal to zero and attempt to solve: Simplifying 10 + -1k = 0 Solving 10 + -1k = 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 + -1k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 0 + -10 -1k = 0 + -10 Combine like terms: 0 + -10 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10Solution
k = {1.285714286, 10}
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