(3+8i)(3-8i)=

Solution for (3+8i)(3-8i)= equation:

Simplifying
(3 + 8i)(3 + -8i) = 0

Multiply (3 + 8i) * (3 + -8i)
(3(3 + -8i) + 8i * (3 + -8i)) = 0
((3 * 3 + -8i * 3) + 8i * (3 + -8i)) = 0
((9 + -24i) + 8i * (3 + -8i)) = 0
(9 + -24i + (3 * 8i + -8i * 8i)) = 0
(9 + -24i + (24i + -64i2)) = 0

Combine like terms: -24i + 24i = 0
(9 + 0 + -64i2) = 0
(9 + -64i2) = 0

Solving
9 + -64i2 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + -64i2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -64i2 = 0 + -9
-64i2 = 0 + -9

Combine like terms: 0 + -9 = -9
-64i2 = -9

Divide each side by '-64'.
i2 = 0.140625

Simplifying
i2 = 0.140625

Take the square root of each side:
i = {-0.375, 0.375}