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Simplifying 3j2 + -6j = 4 + -2j Reorder the terms: -6j + 3j2 = 4 + -2j Solving -6j + 3j2 = 4 + -2j Solving for variable 'j'. Reorder the terms: -4 + -6j + 2j + 3j2 = 4 + -2j + -4 + 2j Combine like terms: -6j + 2j = -4j -4 + -4j + 3j2 = 4 + -2j + -4 + 2j Reorder the terms: -4 + -4j + 3j2 = 4 + -4 + -2j + 2j Combine like terms: 4 + -4 = 0 -4 + -4j + 3j2 = 0 + -2j + 2j -4 + -4j + 3j2 = -2j + 2j Combine like terms: -2j + 2j = 0 -4 + -4j + 3j2 = 0 Factor a trinomial. (-2 + -3j)(2 + -1j) = 0Subproblem 1
Set the factor '(-2 + -3j)' equal to zero and attempt to solve: Simplifying -2 + -3j = 0 Solving -2 + -3j = 0 Move all terms containing j to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3j = 0 + 2 -3j = 0 + 2 Combine like terms: 0 + 2 = 2 -3j = 2 Divide each side by '-3'. j = -0.6666666667 Simplifying j = -0.6666666667Subproblem 2
Set the factor '(2 + -1j)' equal to zero and attempt to solve: Simplifying 2 + -1j = 0 Solving 2 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1j = 0 + -2 -1j = 0 + -2 Combine like terms: 0 + -2 = -2 -1j = -2 Divide each side by '-1'. j = 2 Simplifying j = 2Solution
j = {-0.6666666667, 2}
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