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Simplifying (5 + -2j)(2 + 4J) = 0 Multiply (5 + -2j) * (2 + 4J) (5(2 + 4J) + -2j * (2 + 4J)) = 0 ((2 * 5 + 4J * 5) + -2j * (2 + 4J)) = 0 ((10 + 20J) + -2j * (2 + 4J)) = 0 (10 + 20J + (2 * -2j + 4J * -2j)) = 0 (10 + 20J + (-4j + -8jJ)) = 0 (10 + 20J + -4j + -8jJ) = 0 Solving 10 + 20J + -4j + -8jJ = 0 Solving for variable 'J'. Move all terms containing J to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 20J + -4j + -10 + -8jJ = 0 + -10 Reorder the terms: 10 + -10 + 20J + -4j + -8jJ = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 20J + -4j + -8jJ = 0 + -10 20J + -4j + -8jJ = 0 + -10 Combine like terms: 0 + -10 = -10 20J + -4j + -8jJ = -10 Add '4j' to each side of the equation. 20J + -4j + 4j + -8jJ = -10 + 4j Combine like terms: -4j + 4j = 0 20J + 0 + -8jJ = -10 + 4j 20J + -8jJ = -10 + 4j Reorder the terms: 10 + 20J + -4j + -8jJ = -10 + 4j + 10 + -4j Reorder the terms: 10 + 20J + -4j + -8jJ = -10 + 10 + 4j + -4j Combine like terms: -10 + 10 = 0 10 + 20J + -4j + -8jJ = 0 + 4j + -4j 10 + 20J + -4j + -8jJ = 4j + -4j Combine like terms: 4j + -4j = 0 10 + 20J + -4j + -8jJ = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 10J + -2j + -4jJ) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 10J + -2j + -4jJ)' equal to zero and attempt to solve: Simplifying 5 + 10J + -2j + -4jJ = 0 Solving 5 + 10J + -2j + -4jJ = 0 Move all terms containing J to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10J + -2j + -5 + -4jJ = 0 + -5 Reorder the terms: 5 + -5 + 10J + -2j + -4jJ = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10J + -2j + -4jJ = 0 + -5 10J + -2j + -4jJ = 0 + -5 Combine like terms: 0 + -5 = -5 10J + -2j + -4jJ = -5 Add '2j' to each side of the equation. 10J + -2j + 2j + -4jJ = -5 + 2j Combine like terms: -2j + 2j = 0 10J + 0 + -4jJ = -5 + 2j 10J + -4jJ = -5 + 2j The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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