2xi-4yi=-3iy

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Solution for 2xi-4yi=-3iy equation: 


Simplifying
2xi + -4yi = -3iy

Solving
2ix + -4iy = -3iy

Solving for variable 'i'.

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

Add '3iy' to each side of the equation.
2ix + -4iy + 3iy = -3iy + 3iy

Combine like terms: -4iy + 3iy = -1iy
2ix + -1iy = -3iy + 3iy

Combine like terms: -3iy + 3iy = 0
2ix + -1iy = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(2x + -1y) = 0


Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0

Subproblem 2
Set the factor '(2x + -1y)' equal to zero and attempt to solve:

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add '-2x' to each side of the equation.
2x + -2x + -1y = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + -1y = 0 + -2x
-1y = 0 + -2x
Remove the zero:
-1y = -2x

Add 'y' to each side of the equation.
-1y + y = -2x + y

Combine like terms: -1y + y = 0
0 = -2x + y

Simplifying
0 = -2x + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
i = {0}

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