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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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