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Simplifying (5 + -11I) + (7 + 4i) = 0 Remove parenthesis around (5 + -11I) 5 + -11I + (7 + 4i) = 0 Remove parenthesis around (7 + 4i) 5 + -11I + 7 + 4i = 0 Reorder the terms: 5 + 7 + -11I + 4i = 0 Combine like terms: 5 + 7 = 12 12 + -11I + 4i = 0 Solving 12 + -11I + 4i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -11I + -12 + 4i = 0 + -12 Reorder the terms: 12 + -12 + -11I + 4i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11I + 4i = 0 + -12 -11I + 4i = 0 + -12 Combine like terms: 0 + -12 = -12 -11I + 4i = -12 Add '-4i' to each side of the equation. -11I + 4i + -4i = -12 + -4i Combine like terms: 4i + -4i = 0 -11I + 0 = -12 + -4i -11I = -12 + -4i Divide each side by '-11'. I = 1.090909091 + 0.3636363636i Simplifying I = 1.090909091 + 0.3636363636i
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