(-5+9i)(-5-9i)=

Solution for (-5+9i)(-5-9i)= equation:

Simplifying
(-5 + 9i)(-5 + -9i) = 0

Multiply (-5 + 9i) * (-5 + -9i)
(-5(-5 + -9i) + 9i * (-5 + -9i)) = 0
((-5 * -5 + -9i * -5) + 9i * (-5 + -9i)) = 0
((25 + 45i) + 9i * (-5 + -9i)) = 0
(25 + 45i + (-5 * 9i + -9i * 9i)) = 0
(25 + 45i + (-45i + -81i2)) = 0

Combine like terms: 45i + -45i = 0
(25 + 0 + -81i2) = 0
(25 + -81i2) = 0

Solving
25 + -81i2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + -81i2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -81i2 = 0 + -25
-81i2 = 0 + -25

Combine like terms: 0 + -25 = -25
-81i2 = -25

Divide each side by '-81'.
i2 = 0.3086419753

Simplifying
i2 = 0.3086419753

Take the square root of each side:
i = {-0.555555556, 0.555555556}