(4-5i)(8+10i)=

Solution for (4-5i)(8+10i)= equation:

Simplifying
(4 + -5i)(8 + 10i) = 0

Multiply (4 + -5i) * (8 + 10i)
(4(8 + 10i) + -5i * (8 + 10i)) = 0
((8 * 4 + 10i * 4) + -5i * (8 + 10i)) = 0
((32 + 40i) + -5i * (8 + 10i)) = 0
(32 + 40i + (8 * -5i + 10i * -5i)) = 0
(32 + 40i + (-40i + -50i2)) = 0

Combine like terms: 40i + -40i = 0
(32 + 0 + -50i2) = 0
(32 + -50i2) = 0

Solving
32 + -50i2 = 0

Solving for variable 'i'.

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

Add '-32' to each side of the equation.
32 + -32 + -50i2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -50i2 = 0 + -32
-50i2 = 0 + -32

Combine like terms: 0 + -32 = -32
-50i2 = -32

Divide each side by '-50'.
i2 = 0.64

Simplifying
i2 = 0.64

Take the square root of each side:
i = {-0.8, 0.8}