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Simplifying j2 + 5j + 4 = 0 Reorder the terms: 4 + 5j + j2 = 0 Solving 4 + 5j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (4 + j)(1 + 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 '(1 + j)' equal to zero and attempt to solve: Simplifying 1 + j = 0 Solving 1 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + j = 0 + -1 j = 0 + -1 Combine like terms: 0 + -1 = -1 j = -1 Simplifying j = -1Solution
j = {-4, -1}
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