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Simplifying (2 + 7i)(2 + -7i) = 53 Multiply (2 + 7i) * (2 + -7i) (2(2 + -7i) + 7i * (2 + -7i)) = 53 ((2 * 2 + -7i * 2) + 7i * (2 + -7i)) = 53 ((4 + -14i) + 7i * (2 + -7i)) = 53 (4 + -14i + (2 * 7i + -7i * 7i)) = 53 (4 + -14i + (14i + -49i2)) = 53 Combine like terms: -14i + 14i = 0 (4 + 0 + -49i2) = 53 (4 + -49i2) = 53 Solving 4 + -49i2 = 53 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 + -49i2 = 53 + -4 Combine like terms: 4 + -4 = 0 0 + -49i2 = 53 + -4 -49i2 = 53 + -4 Combine like terms: 53 + -4 = 49 -49i2 = 49 Divide each side by '-49'. 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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