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Simplifying
(5 + -9j)(5 + 9j) = 0
Multiply (5 + -9j) * (5 + 9j)
(5(5 + 9j) + -9j * (5 + 9j)) = 0
((5 * 5 + 9j * 5) + -9j * (5 + 9j)) = 0
((25 + 45j) + -9j * (5 + 9j)) = 0
(25 + 45j + (5 * -9j + 9j * -9j)) = 0
(25 + 45j + (-45j + -81j2)) = 0
Combine like terms: 45j + -45j = 0
(25 + 0 + -81j2) = 0
(25 + -81j2) = 0
Solving
25 + -81j2 = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -81j2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -81j2 = 0 + -25
-81j2 = 0 + -25
Combine like terms: 0 + -25 = -25
-81j2 = -25
Divide each side by '-81'.
j2 = 0.3086419753
Simplifying
j2 = 0.3086419753
Take the square root of each side:
j = {-0.555555556, 0.555555556}
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