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Simplifying (3 + 2j)(3 + 2j) = 0 Multiply (3 + 2j) * (3 + 2j) (3(3 + 2j) + 2j * (3 + 2j)) = 0 ((3 * 3 + 2j * 3) + 2j * (3 + 2j)) = 0 ((9 + 6j) + 2j * (3 + 2j)) = 0 (9 + 6j + (3 * 2j + 2j * 2j)) = 0 (9 + 6j + (6j + 4j2)) = 0 Combine like terms: 6j + 6j = 12j (9 + 12j + 4j2) = 0 Solving 9 + 12j + 4j2 = 0 Solving for variable 'j'. Factor a trinomial. (3 + 2j)(3 + 2j) = 0Subproblem 1
Set the factor '(3 + 2j)' equal to zero and attempt to solve: Simplifying 3 + 2j = 0 Solving 3 + 2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2j = 0 + -3 2j = 0 + -3 Combine like terms: 0 + -3 = -3 2j = -3 Divide each side by '2'. j = -1.5 Simplifying j = -1.5Subproblem 2
Set the factor '(3 + 2j)' equal to zero and attempt to solve: Simplifying 3 + 2j = 0 Solving 3 + 2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2j = 0 + -3 2j = 0 + -3 Combine like terms: 0 + -3 = -3 2j = -3 Divide each side by '2'. j = -1.5 Simplifying j = -1.5Solution
j = {-1.5, -1.5}
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