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Simplifying
(7 + -9i)(7 + 9i) = 0
Multiply (7 + -9i) * (7 + 9i)
(7(7 + 9i) + -9i * (7 + 9i)) = 0
((7 * 7 + 9i * 7) + -9i * (7 + 9i)) = 0
((49 + 63i) + -9i * (7 + 9i)) = 0
(49 + 63i + (7 * -9i + 9i * -9i)) = 0
(49 + 63i + (-63i + -81i2)) = 0
Combine like terms: 63i + -63i = 0
(49 + 0 + -81i2) = 0
(49 + -81i2) = 0
Solving
49 + -81i2 = 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 + -81i2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -81i2 = 0 + -49
-81i2 = 0 + -49
Combine like terms: 0 + -49 = -49
-81i2 = -49
Divide each side by '-81'.
i2 = 0.6049382716
Simplifying
i2 = 0.6049382716
Take the square root of each side:
i = {-0.777777778, 0.777777778}
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