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Simplifying 9j + -2 = 9j2 Reorder the terms: -2 + 9j = 9j2 Solving -2 + 9j = 9j2 Solving for variable 'j'. Combine like terms: 9j2 + -9j2 = 0 -2 + 9j + -9j2 = 0 Factor a trinomial. (-2 + 3j)(1 + -3j) = 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 '(1 + -3j)' equal to zero and attempt to solve: Simplifying 1 + -3j = 0 Solving 1 + -3j = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3j = 0 + -1 -3j = 0 + -1 Combine like terms: 0 + -1 = -1 -3j = -1 Divide each side by '-3'. j = 0.3333333333 Simplifying j = 0.3333333333Solution
j = {0.6666666667, 0.3333333333}
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