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Simplifying 6k2 + -10kl + 4l2 = 0 Reorder the terms: -10kl + 6k2 + 4l2 = 0 Solving -10kl + 6k2 + 4l2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5kl + 3k2 + 2l2) = 0 Factor a trinomial. 2((k + -1l)(3k + -2l)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(k + -1l)' equal to zero and attempt to solve: Simplifying k + -1l = 0 Solving k + -1l = 0 Move all terms containing k to the left, all other terms to the right. Add 'l' to each side of the equation. k + -1l + l = 0 + l Combine like terms: -1l + l = 0 k + 0 = 0 + l k = 0 + l Remove the zero: k = l Simplifying k = lSubproblem 2
Set the factor '(3k + -2l)' equal to zero and attempt to solve: Simplifying 3k + -2l = 0 Solving 3k + -2l = 0 Move all terms containing k to the left, all other terms to the right. Add '2l' to each side of the equation. 3k + -2l + 2l = 0 + 2l Combine like terms: -2l + 2l = 0 3k + 0 = 0 + 2l 3k = 0 + 2l Remove the zero: 3k = 2l Divide each side by '3'. k = 0.6666666667l Simplifying k = 0.6666666667lSolution
k = {l, 0.6666666667l}
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