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Simplifying 14k2 + -83km + 33m2 = 0 Reorder the terms: -83km + 14k2 + 33m2 = 0 Solving -83km + 14k2 + 33m2 = 0 Solving for variable 'k'. Factor a trinomial. (2k + -11m)(7k + -3m) = 0Subproblem 1
Set the factor '(2k + -11m)' equal to zero and attempt to solve: Simplifying 2k + -11m = 0 Solving 2k + -11m = 0 Move all terms containing k to the left, all other terms to the right. Add '11m' to each side of the equation. 2k + -11m + 11m = 0 + 11m Combine like terms: -11m + 11m = 0 2k + 0 = 0 + 11m 2k = 0 + 11m Remove the zero: 2k = 11m Divide each side by '2'. k = 5.5m Simplifying k = 5.5mSubproblem 2
Set the factor '(7k + -3m)' equal to zero and attempt to solve: Simplifying 7k + -3m = 0 Solving 7k + -3m = 0 Move all terms containing k to the left, all other terms to the right. Add '3m' to each side of the equation. 7k + -3m + 3m = 0 + 3m Combine like terms: -3m + 3m = 0 7k + 0 = 0 + 3m 7k = 0 + 3m Remove the zero: 7k = 3m Divide each side by '7'. k = 0.4285714286m Simplifying k = 0.4285714286mSolution
k = {5.5m, 0.4285714286m}
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