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Simplifying 21j2 + -57jk + -18k2 = 0 Reorder the terms: -57jk + 21j2 + -18k2 = 0 Solving -57jk + 21j2 + -18k2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '3'. 3(-19jk + 7j2 + -6k2) = 0 Factor a trinomial. 3((j + -3k)(7j + 2k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(j + -3k)' equal to zero and attempt to solve: Simplifying j + -3k = 0 Solving j + -3k = 0 Move all terms containing j to the left, all other terms to the right. Add '3k' to each side of the equation. j + -3k + 3k = 0 + 3k Combine like terms: -3k + 3k = 0 j + 0 = 0 + 3k j = 0 + 3k Remove the zero: j = 3k Simplifying j = 3kSubproblem 2
Set the factor '(7j + 2k)' equal to zero and attempt to solve: Simplifying 7j + 2k = 0 Solving 7j + 2k = 0 Move all terms containing j to the left, all other terms to the right. Add '-2k' to each side of the equation. 7j + 2k + -2k = 0 + -2k Combine like terms: 2k + -2k = 0 7j + 0 = 0 + -2k 7j = 0 + -2k Remove the zero: 7j = -2k Divide each side by '7'. j = -0.2857142857k Simplifying j = -0.2857142857kSolution
j = {3k, -0.2857142857k}
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