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Simplifying (-7 + 3I)(5 + -6I) = i Multiply (-7 + 3I) * (5 + -6I) (-7(5 + -6I) + 3I * (5 + -6I)) = i ((5 * -7 + -6I * -7) + 3I * (5 + -6I)) = i ((-35 + 42I) + 3I * (5 + -6I)) = i (-35 + 42I + (5 * 3I + -6I * 3I)) = i (-35 + 42I + (15I + -18I2)) = i Combine like terms: 42I + 15I = 57I (-35 + 57I + -18I2) = i Solving -35 + 57I + -18I2 = i Solving for variable 'I'. Combine like terms: i + -1i = 0 -35 + 57I + -18I2 + -1i = 0 The solution to this equation could not be determined.
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