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

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

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

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

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

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

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

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

Divide each side by '-25'.
i2 = 1

Simplifying
i2 = 1

Take the square root of each side:
i = {-1, 1}