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Simplifying j2 + 8j + 16 = 0 Reorder the terms: 16 + 8j + j2 = 0 Solving 16 + 8j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (4 + j)(4 + j) = 0Subproblem 1
Set the factor '(4 + j)' equal to zero and attempt to solve: Simplifying 4 + j = 0 Solving 4 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + j = 0 + -4 j = 0 + -4 Combine like terms: 0 + -4 = -4 j = -4 Simplifying j = -4Subproblem 2
Set the factor '(4 + j)' equal to zero and attempt to solve: Simplifying 4 + j = 0 Solving 4 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + j = 0 + -4 j = 0 + -4 Combine like terms: 0 + -4 = -4 j = -4 Simplifying j = -4Solution
j = {-4, -4}
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