(2-5i)(2+5i)=

Solution for (2-5i)(2+5i)= equation:

Simplifying
(2 + -5i)(2 + 5i) = 0

Multiply (2 + -5i) * (2 + 5i)
(2(2 + 5i) + -5i * (2 + 5i)) = 0
((2 * 2 + 5i * 2) + -5i * (2 + 5i)) = 0
((4 + 10i) + -5i * (2 + 5i)) = 0
(4 + 10i + (2 * -5i + 5i * -5i)) = 0
(4 + 10i + (-10i + -25i2)) = 0

Combine like terms: 10i + -10i = 0
(4 + 0 + -25i2) = 0
(4 + -25i2) = 0

Solving
4 + -25i2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + -25i2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25i2 = 0 + -4
-25i2 = 0 + -4

Combine like terms: 0 + -4 = -4
-25i2 = -4

Divide each side by '-25'.
i2 = 0.16

Simplifying
i2 = 0.16

Take the square root of each side:
i = {-0.4, 0.4}