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Simplifying 21j = -5 + -4j2 Solving 21j = -5 + -4j2 Solving for variable 'j'. Reorder the terms: 5 + 21j + 4j2 = -5 + -4j2 + 5 + 4j2 Reorder the terms: 5 + 21j + 4j2 = -5 + 5 + -4j2 + 4j2 Combine like terms: -5 + 5 = 0 5 + 21j + 4j2 = 0 + -4j2 + 4j2 5 + 21j + 4j2 = -4j2 + 4j2 Combine like terms: -4j2 + 4j2 = 0 5 + 21j + 4j2 = 0 Factor a trinomial. (5 + j)(1 + 4j) = 0Subproblem 1
Set the factor '(5 + j)' equal to zero and attempt to solve: Simplifying 5 + j = 0 Solving 5 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + j = 0 + -5 j = 0 + -5 Combine like terms: 0 + -5 = -5 j = -5 Simplifying j = -5Subproblem 2
Set the factor '(1 + 4j)' equal to zero and attempt to solve: Simplifying 1 + 4j = 0 Solving 1 + 4j = 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 + 4j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4j = 0 + -1 4j = 0 + -1 Combine like terms: 0 + -1 = -1 4j = -1 Divide each side by '4'. j = -0.25 Simplifying j = -0.25Solution
j = {-5, -0.25}
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