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