(9+6i)(9-6i)=

Solution for (9+6i)(9-6i)= equation:

Simplifying
(9 + 6i)(9 + -6i) = 0

Multiply (9 + 6i) * (9 + -6i)
(9(9 + -6i) + 6i * (9 + -6i)) = 0
((9 * 9 + -6i * 9) + 6i * (9 + -6i)) = 0
((81 + -54i) + 6i * (9 + -6i)) = 0
(81 + -54i + (9 * 6i + -6i * 6i)) = 0
(81 + -54i + (54i + -36i2)) = 0

Combine like terms: -54i + 54i = 0
(81 + 0 + -36i2) = 0
(81 + -36i2) = 0

Solving
81 + -36i2 = 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 + -36i2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -36i2 = 0 + -81
-36i2 = 0 + -81

Combine like terms: 0 + -81 = -81
-36i2 = -81

Divide each side by '-36'.
i2 = 2.25

Simplifying
i2 = 2.25

Take the square root of each side:
i = {-1.5, 1.5}