(6-4i)(6+4i)=0

Solution for (6-4i)(6+4i)=0 equation:

Simplifying
(6 + -4i)(6 + 4i) = 0

Multiply (6 + -4i) * (6 + 4i)
(6(6 + 4i) + -4i * (6 + 4i)) = 0
((6 * 6 + 4i * 6) + -4i * (6 + 4i)) = 0
((36 + 24i) + -4i * (6 + 4i)) = 0
(36 + 24i + (6 * -4i + 4i * -4i)) = 0
(36 + 24i + (-24i + -16i2)) = 0

Combine like terms: 24i + -24i = 0
(36 + 0 + -16i2) = 0
(36 + -16i2) = 0

Solving
36 + -16i2 = 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 + -16i2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -16i2 = 0 + -36
-16i2 = 0 + -36

Combine like terms: 0 + -36 = -36
-16i2 = -36

Divide each side by '-16'.
i2 = 2.25

Simplifying
i2 = 2.25

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