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Simplifying 5j2 + 38j + -16 = 0 Reorder the terms: -16 + 38j + 5j2 = 0 Solving -16 + 38j + 5j2 = 0 Solving for variable 'j'. Factor a trinomial. (-8 + -1j)(2 + -5j) = 0Subproblem 1
Set the factor '(-8 + -1j)' equal to zero and attempt to solve: Simplifying -8 + -1j = 0 Solving -8 + -1j = 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 + -1j = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1j = 0 + 8 -1j = 0 + 8 Combine like terms: 0 + 8 = 8 -1j = 8 Divide each side by '-1'. j = -8 Simplifying j = -8Subproblem 2
Set the factor '(2 + -5j)' equal to zero and attempt to solve: Simplifying 2 + -5j = 0 Solving 2 + -5j = 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 + -5j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5j = 0 + -2 -5j = 0 + -2 Combine like terms: 0 + -2 = -2 -5j = -2 Divide each side by '-5'. j = 0.4 Simplifying j = 0.4Solution
j = {-8, 0.4}
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