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Simplifying (-2 + -7i)(-2 + 7i) = 0 Multiply (-2 + -7i) * (-2 + 7i) (-2(-2 + 7i) + -7i * (-2 + 7i)) = 0 ((-2 * -2 + 7i * -2) + -7i * (-2 + 7i)) = 0 ((4 + -14i) + -7i * (-2 + 7i)) = 0 (4 + -14i + (-2 * -7i + 7i * -7i)) = 0 (4 + -14i + (14i + -49i2)) = 0 Combine like terms: -14i + 14i = 0 (4 + 0 + -49i2) = 0 (4 + -49i2) = 0 Solving 4 + -49i2 = 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 + -49i2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -49i2 = 0 + -4 -49i2 = 0 + -4 Combine like terms: 0 + -4 = -4 -49i2 = -4 Divide each side by '-49'. i2 = 0.08163265306 Simplifying i2 = 0.08163265306 Take the square root of each side: i = {-0.285714286, 0.285714286}
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