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

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

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

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

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

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

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

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

Divide each side by '-81'.
i2 = 0.4444444444

Simplifying
i2 = 0.4444444444

Take the square root of each side:
i = {-0.666666667, 0.666666667}