(8+5i)(8-5i)=

Solution for (8+5i)(8-5i)= equation:

Simplifying
(8 + 5i)(8 + -5i) = 0

Multiply (8 + 5i) * (8 + -5i)
(8(8 + -5i) + 5i * (8 + -5i)) = 0
((8 * 8 + -5i * 8) + 5i * (8 + -5i)) = 0
((64 + -40i) + 5i * (8 + -5i)) = 0
(64 + -40i + (8 * 5i + -5i * 5i)) = 0
(64 + -40i + (40i + -25i2)) = 0

Combine like terms: -40i + 40i = 0
(64 + 0 + -25i2) = 0
(64 + -25i2) = 0

Solving
64 + -25i2 = 0

Solving for variable 'i'.

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

Add '-64' to each side of the equation.
64 + -64 + -25i2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -25i2 = 0 + -64
-25i2 = 0 + -64

Combine like terms: 0 + -64 = -64
-25i2 = -64

Divide each side by '-25'.
i2 = 2.56

Simplifying
i2 = 2.56

Take the square root of each side:
i = {-1.6, 1.6}