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Simplifying j2 + -16j + 28 = 0 Reorder the terms: 28 + -16j + j2 = 0 Solving 28 + -16j + j2 = 0 Solving for variable 'j'. Factor a trinomial. (2 + -1j)(14 + -1j) = 0Subproblem 1
Set the factor '(2 + -1j)' equal to zero and attempt to solve: Simplifying 2 + -1j = 0 Solving 2 + -1j = 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 + -1j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1j = 0 + -2 -1j = 0 + -2 Combine like terms: 0 + -2 = -2 -1j = -2 Divide each side by '-1'. j = 2 Simplifying j = 2Subproblem 2
Set the factor '(14 + -1j)' equal to zero and attempt to solve: Simplifying 14 + -1j = 0 Solving 14 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1j = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1j = 0 + -14 -1j = 0 + -14 Combine like terms: 0 + -14 = -14 -1j = -14 Divide each side by '-1'. j = 14 Simplifying j = 14Solution
j = {2, 14}
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