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Simplifying (1 + i)(-2 + 2i) = -4 Multiply (1 + i) * (-2 + 2i) (1(-2 + 2i) + i(-2 + 2i)) = -4 ((-2 * 1 + 2i * 1) + i(-2 + 2i)) = -4 ((-2 + 2i) + i(-2 + 2i)) = -4 (-2 + 2i + (-2 * i + 2i * i)) = -4 (-2 + 2i + (-2i + 2i2)) = -4 Combine like terms: 2i + -2i = 0 (-2 + 0 + 2i2) = -4 (-2 + 2i2) = -4 Solving -2 + 2i2 = -4 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2i2 = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 2i2 = -4 + 2 2i2 = -4 + 2 Combine like terms: -4 + 2 = -2 2i2 = -2 Divide each side by '2'. 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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