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Simplifying 105km + 10k2 + 270m2 = 0 Solving 105km + 10k2 + 270m2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5'. 5(21km + 2k2 + 54m2) = 0 Factor a trinomial. 5((2k + 9m)(k + 6m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2k + 9m)' equal to zero and attempt to solve: Simplifying 2k + 9m = 0 Solving 2k + 9m = 0 Move all terms containing k to the left, all other terms to the right. Add '-9m' to each side of the equation. 2k + 9m + -9m = 0 + -9m Combine like terms: 9m + -9m = 0 2k + 0 = 0 + -9m 2k = 0 + -9m Remove the zero: 2k = -9m Divide each side by '2'. k = -4.5m Simplifying k = -4.5mSubproblem 2
Set the factor '(k + 6m)' equal to zero and attempt to solve: Simplifying k + 6m = 0 Solving k + 6m = 0 Move all terms containing k to the left, all other terms to the right. Add '-6m' to each side of the equation. k + 6m + -6m = 0 + -6m Combine like terms: 6m + -6m = 0 k + 0 = 0 + -6m k = 0 + -6m Remove the zero: k = -6m Simplifying k = -6mSolution
k = {-4.5m, -6m}
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