(6+8i)(6-8i)=

Solution for (6+8i)(6-8i)= equation:

Simplifying
(6 + 8i)(6 + -8i) = 0

Multiply (6 + 8i) * (6 + -8i)
(6(6 + -8i) + 8i * (6 + -8i)) = 0
((6 * 6 + -8i * 6) + 8i * (6 + -8i)) = 0
((36 + -48i) + 8i * (6 + -8i)) = 0
(36 + -48i + (6 * 8i + -8i * 8i)) = 0
(36 + -48i + (48i + -64i2)) = 0

Combine like terms: -48i + 48i = 0
(36 + 0 + -64i2) = 0
(36 + -64i2) = 0

Solving
36 + -64i2 = 0

Solving for variable 'i'.

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

Add '-36' to each side of the equation.
36 + -36 + -64i2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -64i2 = 0 + -36
-64i2 = 0 + -36

Combine like terms: 0 + -36 = -36
-64i2 = -36

Divide each side by '-64'.
i2 = 0.5625

Simplifying
i2 = 0.5625

Take the square root of each side:
i = {-0.75, 0.75}