(9+8i)(9-8i)=

Solution for (9+8i)(9-8i)= equation:

Simplifying
(9 + 8i)(9 + -8i) = 0

Multiply (9 + 8i) * (9 + -8i)
(9(9 + -8i) + 8i * (9 + -8i)) = 0
((9 * 9 + -8i * 9) + 8i * (9 + -8i)) = 0
((81 + -72i) + 8i * (9 + -8i)) = 0
(81 + -72i + (9 * 8i + -8i * 8i)) = 0
(81 + -72i + (72i + -64i2)) = 0

Combine like terms: -72i + 72i = 0
(81 + 0 + -64i2) = 0
(81 + -64i2) = 0

Solving
81 + -64i2 = 0

Solving for variable 'i'.

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

Add '-81' to each side of the equation.
81 + -81 + -64i2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -64i2 = 0 + -81
-64i2 = 0 + -81

Combine like terms: 0 + -81 = -81
-64i2 = -81

Divide each side by '-64'.
i2 = 1.265625

Simplifying
i2 = 1.265625

Take the square root of each side:
i = {-1.125, 1.125}