x+3y+(2x-3y-9)i=0

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Solution for x+3y+(2x-3y-9)i=0 equation:


Simplifying
x + 3y + (2x + -3y + -9) * i = 0

Reorder the terms:
x + 3y + (-9 + 2x + -3y) * i = 0

Reorder the terms for easier multiplication:
x + 3y + i(-9 + 2x + -3y) = 0
x + 3y + (-9 * i + 2x * i + -3y * i) = 0
x + 3y + (-9i + 2ix + -3iy) = 0

Reorder the terms:
-9i + 2ix + -3iy + x + 3y = 0

Solving
-9i + 2ix + -3iy + x + 3y = 0

Solving for variable 'i'.

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

Add '-1x' to each side of the equation.
-9i + 2ix + -3iy + x + -1x + 3y = 0 + -1x

Combine like terms: x + -1x = 0
-9i + 2ix + -3iy + 0 + 3y = 0 + -1x
-9i + 2ix + -3iy + 3y = 0 + -1x
Remove the zero:
-9i + 2ix + -3iy + 3y = -1x

Add '-3y' to each side of the equation.
-9i + 2ix + -3iy + 3y + -3y = -1x + -3y

Combine like terms: 3y + -3y = 0
-9i + 2ix + -3iy + 0 = -1x + -3y
-9i + 2ix + -3iy = -1x + -3y

Reorder the terms:
-9i + 2ix + -3iy + x + 3y = -1x + x + -3y + 3y

Combine like terms: -1x + x = 0
-9i + 2ix + -3iy + x + 3y = 0 + -3y + 3y
-9i + 2ix + -3iy + x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-9i + 2ix + -3iy + x + 3y = 0

The solution to this equation could not be determined.

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