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Simplifying (7 + -6i)(-8 + 3i) = -38 + 69i Multiply (7 + -6i) * (-8 + 3i) (7(-8 + 3i) + -6i * (-8 + 3i)) = -38 + 69i ((-8 * 7 + 3i * 7) + -6i * (-8 + 3i)) = -38 + 69i ((-56 + 21i) + -6i * (-8 + 3i)) = -38 + 69i (-56 + 21i + (-8 * -6i + 3i * -6i)) = -38 + 69i (-56 + 21i + (48i + -18i2)) = -38 + 69i Combine like terms: 21i + 48i = 69i (-56 + 69i + -18i2) = -38 + 69i Add '-69i' to each side of the equation. -56 + 69i + -69i + -18i2 = -38 + 69i + -69i Combine like terms: 69i + -69i = 0 -56 + 0 + -18i2 = -38 + 69i + -69i -56 + -18i2 = -38 + 69i + -69i Combine like terms: 69i + -69i = 0 -56 + -18i2 = -38 + 0 -56 + -18i2 = -38 Solving -56 + -18i2 = -38 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -18i2 = -38 + 56 Combine like terms: -56 + 56 = 0 0 + -18i2 = -38 + 56 -18i2 = -38 + 56 Combine like terms: -38 + 56 = 18 -18i2 = 18 Divide each side by '-18'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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