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Simplifying 3j2 + 10j + -13 = 0 Reorder the terms: -13 + 10j + 3j2 = 0 Solving -13 + 10j + 3j2 = 0 Solving for variable 'j'. Factor a trinomial. (-13 + -3j)(1 + -1j) = 0Subproblem 1
Set the factor '(-13 + -3j)' equal to zero and attempt to solve: Simplifying -13 + -3j = 0 Solving -13 + -3j = 0 Move all terms containing j to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3j = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3j = 0 + 13 -3j = 0 + 13 Combine like terms: 0 + 13 = 13 -3j = 13 Divide each side by '-3'. j = -4.333333333 Simplifying j = -4.333333333Subproblem 2
Set the factor '(1 + -1j)' equal to zero and attempt to solve: Simplifying 1 + -1j = 0 Solving 1 + -1j = 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 + -1j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1j = 0 + -1 -1j = 0 + -1 Combine like terms: 0 + -1 = -1 -1j = -1 Divide each side by '-1'. j = 1 Simplifying j = 1Solution
j = {-4.333333333, 1}
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