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Simplifying 2j2 + 7j + 5 = 0 Reorder the terms: 5 + 7j + 2j2 = 0 Solving 5 + 7j + 2j2 = 0 Solving for variable 'j'. Factor a trinomial. (5 + 2j)(1 + j) = 0Subproblem 1
Set the factor '(5 + 2j)' equal to zero and attempt to solve: Simplifying 5 + 2j = 0 Solving 5 + 2j = 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 + 2j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2j = 0 + -5 2j = 0 + -5 Combine like terms: 0 + -5 = -5 2j = -5 Divide each side by '2'. j = -2.5 Simplifying j = -2.5Subproblem 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 = {-2.5, -1}
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