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Simplifying 3j2 + -5j + -8 = 0 Reorder the terms: -8 + -5j + 3j2 = 0 Solving -8 + -5j + 3j2 = 0 Solving for variable 'j'. Factor a trinomial. (-1 + -1j)(8 + -3j) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(8 + -3j)' equal to zero and attempt to solve: Simplifying 8 + -3j = 0 Solving 8 + -3j = 0 Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3j = 0 + -8 -3j = 0 + -8 Combine like terms: 0 + -8 = -8 -3j = -8 Divide each side by '-3'. j = 2.666666667 Simplifying j = 2.666666667Solution
j = {-1, 2.666666667}
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