(-1+5i)(-1-5i)=0

Solution for (-1+5i)(-1-5i)=0 equation:

Simplifying
(-1 + 5i)(-1 + -5i) = 0

Multiply (-1 + 5i) * (-1 + -5i)
(-1(-1 + -5i) + 5i * (-1 + -5i)) = 0
((-1 * -1 + -5i * -1) + 5i * (-1 + -5i)) = 0
((1 + 5i) + 5i * (-1 + -5i)) = 0
(1 + 5i + (-1 * 5i + -5i * 5i)) = 0
(1 + 5i + (-5i + -25i2)) = 0

Combine like terms: 5i + -5i = 0
(1 + 0 + -25i2) = 0
(1 + -25i2) = 0

Solving
1 + -25i2 = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + -25i2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -25i2 = 0 + -1
-25i2 = 0 + -1

Combine like terms: 0 + -1 = -1
-25i2 = -1

Divide each side by '-25'.
i2 = 0.04

Simplifying
i2 = 0.04

Take the square root of each side:
i = {-0.2, 0.2}