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Simplifying 3j2 + -47j + -16 = 0 Reorder the terms: -16 + -47j + 3j2 = 0 Solving -16 + -47j + 3j2 = 0 Solving for variable 'j'. Factor a trinomial. (-1 + -3j)(16 + -1j) = 0Subproblem 1
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 = -0.3333333333Subproblem 2
Set the factor '(16 + -1j)' equal to zero and attempt to solve: Simplifying 16 + -1j = 0 Solving 16 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1j = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1j = 0 + -16 -1j = 0 + -16 Combine like terms: 0 + -16 = -16 -1j = -16 Divide each side by '-1'. j = 16 Simplifying j = 16Solution
j = {-0.3333333333, 16}
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