(3+2j)(3-2j)=0

Solution for (3+2j)(3-2j)=0 equation:

Simplifying
(3 + 2j)(3 + -2j) = 0

Multiply (3 + 2j) * (3 + -2j)
(3(3 + -2j) + 2j * (3 + -2j)) = 0
((3 * 3 + -2j * 3) + 2j * (3 + -2j)) = 0
((9 + -6j) + 2j * (3 + -2j)) = 0
(9 + -6j + (3 * 2j + -2j * 2j)) = 0
(9 + -6j + (6j + -4j2)) = 0

Combine like terms: -6j + 6j = 0
(9 + 0 + -4j2) = 0
(9 + -4j2) = 0

Solving
9 + -4j2 = 0

Solving for variable 'j'.

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

Add '-9' to each side of the equation.
9 + -9 + -4j2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4j2 = 0 + -9
-4j2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4j2 = -9

Divide each side by '-4'.
j2 = 2.25

Simplifying
j2 = 2.25

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