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Simplifying 3j2 + 10j + 7 = 0 Reorder the terms: 7 + 10j + 3j2 = 0 Solving 7 + 10j + 3j2 = 0 Solving for variable 'j'. Factor a trinomial. (7 + 3j)(1 + j) = 0Subproblem 1
Set the factor '(7 + 3j)' equal to zero and attempt to solve: Simplifying 7 + 3j = 0 Solving 7 + 3j = 0 Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3j = 0 + -7 3j = 0 + -7 Combine like terms: 0 + -7 = -7 3j = -7 Divide each side by '3'. j = -2.333333333 Simplifying j = -2.333333333Subproblem 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 = {-2.333333333, -1}
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