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Simplifying j2 + -2j = 783 Reorder the terms: -2j + j2 = 783 Solving -2j + j2 = 783 Solving for variable 'j'. Reorder the terms: -783 + -2j + j2 = 783 + -783 Combine like terms: 783 + -783 = 0 -783 + -2j + j2 = 0 Factor a trinomial. (-27 + -1j)(29 + -1j) = 0Subproblem 1
Set the factor '(-27 + -1j)' equal to zero and attempt to solve: Simplifying -27 + -1j = 0 Solving -27 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1j = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1j = 0 + 27 -1j = 0 + 27 Combine like terms: 0 + 27 = 27 -1j = 27 Divide each side by '-1'. j = -27 Simplifying j = -27Subproblem 2
Set the factor '(29 + -1j)' equal to zero and attempt to solve: Simplifying 29 + -1j = 0 Solving 29 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1j = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1j = 0 + -29 -1j = 0 + -29 Combine like terms: 0 + -29 = -29 -1j = -29 Divide each side by '-1'. j = 29 Simplifying j = 29Solution
j = {-27, 29}
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