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Simplifying 2j2 + 15j + 7 = 0 Reorder the terms: 7 + 15j + 2j2 = 0 Solving 7 + 15j + 2j2 = 0 Solving for variable 'j'. Factor a trinomial. (7 + j)(1 + 2j) = 0Subproblem 1
Set the factor '(7 + j)' equal to zero and attempt to solve: Simplifying 7 + j = 0 Solving 7 + j = 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 + j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + j = 0 + -7 j = 0 + -7 Combine like terms: 0 + -7 = -7 j = -7 Simplifying j = -7Subproblem 2
Set the factor '(1 + 2j)' equal to zero and attempt to solve: Simplifying 1 + 2j = 0 Solving 1 + 2j = 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 + 2j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2j = 0 + -1 2j = 0 + -1 Combine like terms: 0 + -1 = -1 2j = -1 Divide each side by '2'. j = -0.5 Simplifying j = -0.5Solution
j = {-7, -0.5}
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