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Simplifying (-7 + -3i)(-7 + 3i) = 0 Multiply (-7 + -3i) * (-7 + 3i) (-7(-7 + 3i) + -3i * (-7 + 3i)) = 0 ((-7 * -7 + 3i * -7) + -3i * (-7 + 3i)) = 0 ((49 + -21i) + -3i * (-7 + 3i)) = 0 (49 + -21i + (-7 * -3i + 3i * -3i)) = 0 (49 + -21i + (21i + -9i2)) = 0 Combine like terms: -21i + 21i = 0 (49 + 0 + -9i2) = 0 (49 + -9i2) = 0 Solving 49 + -9i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -9i2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -9i2 = 0 + -49 -9i2 = 0 + -49 Combine like terms: 0 + -49 = -49 -9i2 = -49 Divide each side by '-9'. i2 = 5.444444444 Simplifying i2 = 5.444444444 Take the square root of each side: i = {-2.333333333, 2.333333333}
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