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Simplifying
(9 + 5i)(9 + -5i) = 0
Multiply (9 + 5i) * (9 + -5i)
(9(9 + -5i) + 5i * (9 + -5i)) = 0
((9 * 9 + -5i * 9) + 5i * (9 + -5i)) = 0
((81 + -45i) + 5i * (9 + -5i)) = 0
(81 + -45i + (9 * 5i + -5i * 5i)) = 0
(81 + -45i + (45i + -25i2)) = 0
Combine like terms: -45i + 45i = 0
(81 + 0 + -25i2) = 0
(81 + -25i2) = 0
Solving
81 + -25i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-81' to each side of the equation.
81 + -81 + -25i2 = 0 + -81
Combine like terms: 81 + -81 = 0
0 + -25i2 = 0 + -81
-25i2 = 0 + -81
Combine like terms: 0 + -81 = -81
-25i2 = -81
Divide each side by '-25'.
i2 = 3.24
Simplifying
i2 = 3.24
Take the square root of each side:
i = {-1.8, 1.8}
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