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Simplifying (6 + 3)(7 + -4i) = 0 Combine like terms: 6 + 3 = 9 (9)(7 + -4i) = 0 (7 * 9 + -4i * 9) = 0 (63 + -36i) = 0 Solving 63 + -36i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -36i = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -36i = 0 + -63 -36i = 0 + -63 Combine like terms: 0 + -63 = -63 -36i = -63 Divide each side by '-36'. i = 1.75 Simplifying i = 1.75
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