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Simplifying (7 + 2j)(7 + j) = 0 Multiply (7 + 2j) * (7 + j) (7(7 + j) + 2j * (7 + j)) = 0 ((7 * 7 + j * 7) + 2j * (7 + j)) = 0 ((49 + 7j) + 2j * (7 + j)) = 0 (49 + 7j + (7 * 2j + j * 2j)) = 0 (49 + 7j + (14j + 2j2)) = 0 Combine like terms: 7j + 14j = 21j (49 + 21j + 2j2) = 0 Solving 49 + 21j + 2j2 = 0 Solving for variable 'j'. Factor a trinomial. (7 + j)(7 + 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 '(7 + 2j)' equal to zero and attempt to solve: Simplifying 7 + 2j = 0 Solving 7 + 2j = 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 + 2j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2j = 0 + -7 2j = 0 + -7 Combine like terms: 0 + -7 = -7 2j = -7 Divide each side by '2'. j = -3.5 Simplifying j = -3.5Solution
j = {-7, -3.5}
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