(-5-6i)(-5+6i)=

Solution for (-5-6i)(-5+6i)= equation:

Simplifying
(-5 + -6i)(-5 + 6i) = 0

Multiply (-5 + -6i) * (-5 + 6i)
(-5(-5 + 6i) + -6i * (-5 + 6i)) = 0
((-5 * -5 + 6i * -5) + -6i * (-5 + 6i)) = 0
((25 + -30i) + -6i * (-5 + 6i)) = 0
(25 + -30i + (-5 * -6i + 6i * -6i)) = 0
(25 + -30i + (30i + -36i2)) = 0

Combine like terms: -30i + 30i = 0
(25 + 0 + -36i2) = 0
(25 + -36i2) = 0

Solving
25 + -36i2 = 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 + -36i2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -36i2 = 0 + -25
-36i2 = 0 + -25

Combine like terms: 0 + -25 = -25
-36i2 = -25

Divide each side by '-36'.
i2 = 0.6944444444

Simplifying
i2 = 0.6944444444

Take the square root of each side:
i = {-0.833333333, 0.833333333}