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Simplifying (11 + -4j)(7 + -3j) = 0 Multiply (11 + -4j) * (7 + -3j) (11(7 + -3j) + -4j * (7 + -3j)) = 0 ((7 * 11 + -3j * 11) + -4j * (7 + -3j)) = 0 ((77 + -33j) + -4j * (7 + -3j)) = 0 (77 + -33j + (7 * -4j + -3j * -4j)) = 0 (77 + -33j + (-28j + 12j2)) = 0 Combine like terms: -33j + -28j = -61j (77 + -61j + 12j2) = 0 Solving 77 + -61j + 12j2 = 0 Solving for variable 'j'. Factor a trinomial. (7 + -3j)(11 + -4j) = 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 '(11 + -4j)' equal to zero and attempt to solve: Simplifying 11 + -4j = 0 Solving 11 + -4j = 0 Move all terms containing j to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4j = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4j = 0 + -11 -4j = 0 + -11 Combine like terms: 0 + -11 = -11 -4j = -11 Divide each side by '-4'. j = 2.75 Simplifying j = 2.75Solution
j = {2.333333333, 2.75}
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