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

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

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

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

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

Solving
16 + -36i2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -16 + -36i2 = 0 + -16

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

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

Divide each side by '-36'.
i2 = 0.4444444444

Simplifying
i2 = 0.4444444444

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