(-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}