Answer:
(x + 12) + i 3(1 + 4y) = 0
Explanations:
The given equation is:
-2x + 6i = (-24y)i - 24
Remove the brackets:
-2x + 6i = -24yi - 24
Note that i represents the imaginary part
Collect like terms
That is, group the real and imaginary parts together
-2x + 24 + 6i + 24yi = 0
Factorise -2 out of the equation
-2 ( x - 12 + 3i + 12yi ) = 0
The equation reduces to:
x - 12 + 3i + 12yi = 0
Write the equation in the form (Real) + i (Imaginary) = 0
(x - 12) + i(3 + 12y) = 0
(x + 12) + i 3(1 + 4y) = 0
Where (x + 12) is the real part and 3(1 + 4y) is the imaginary part