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Simplifying j2 + -9kj + -10k2 = 0 Reorder the terms: -9jk + j2 + -10k2 = 0 Solving -9jk + j2 + -10k2 = 0 Solving for variable 'j'. Factor a trinomial. (j + -10k)(j + k) = 0Subproblem 1
Set the factor '(j + -10k)' equal to zero and attempt to solve: Simplifying j + -10k = 0 Solving j + -10k = 0 Move all terms containing j to the left, all other terms to the right. Add '10k' to each side of the equation. j + -10k + 10k = 0 + 10k Combine like terms: -10k + 10k = 0 j + 0 = 0 + 10k j = 0 + 10k Remove the zero: j = 10k Simplifying j = 10kSubproblem 2
Set the factor '(j + k)' equal to zero and attempt to solve: Simplifying j + k = 0 Solving j + k = 0 Move all terms containing j to the left, all other terms to the right. Add '-1k' to each side of the equation. j + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 j + 0 = 0 + -1k j = 0 + -1k Remove the zero: j = -1k Simplifying j = -1kSolution
j = {10k, -1k}
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