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Simplifying (j + -1k)(j + -1k) = 0 Multiply (j + -1k) * (j + -1k) (j(j + -1k) + -1k * (j + -1k)) = 0 ((j * j + -1k * j) + -1k * (j + -1k)) = 0 Reorder the terms: ((-1jk + j2) + -1k * (j + -1k)) = 0 ((-1jk + j2) + -1k * (j + -1k)) = 0 (-1jk + j2 + (j * -1k + -1k * -1k)) = 0 (-1jk + j2 + (-1jk + 1k2)) = 0 Reorder the terms: (-1jk + -1jk + j2 + 1k2) = 0 Combine like terms: -1jk + -1jk = -2jk (-2jk + j2 + 1k2) = 0 Solving -2jk + j2 + 1k2 = 0 Solving for variable 'j'. Factor a trinomial. (j + -1k)(j + -1k) = 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 + -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 = kSolution
j = {k, k}
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