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Simplifying (2 + 2i)(-2 + 2i) + 8 = 0 Multiply (2 + 2i) * (-2 + 2i) (2(-2 + 2i) + 2i * (-2 + 2i)) + 8 = 0 ((-2 * 2 + 2i * 2) + 2i * (-2 + 2i)) + 8 = 0 ((-4 + 4i) + 2i * (-2 + 2i)) + 8 = 0 (-4 + 4i + (-2 * 2i + 2i * 2i)) + 8 = 0 (-4 + 4i + (-4i + 4i2)) + 8 = 0 Combine like terms: 4i + -4i = 0 (-4 + 0 + 4i2) + 8 = 0 (-4 + 4i2) + 8 = 0 Reorder the terms: -4 + 8 + 4i2 = 0 Combine like terms: -4 + 8 = 4 4 + 4i2 = 0 Solving 4 + 4i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4i2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4i2 = 0 + -4 4i2 = 0 + -4 Combine like terms: 0 + -4 = -4 4i2 = -4 Divide each side by '4'. 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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