3xi-4yi=0

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Solution for 3xi-4yi=0 equation: 


Simplifying
3xi + -4yi = 0

Solving
3ix + -4iy = 0

Solving for variable 'i'.

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

Factor out the Greatest Common Factor (GCF), 'i'.
i(3x + -4y) = 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 '(3x + -4y)' equal to zero and attempt to solve:

Simplifying
3x + -4y = 0

Solving
3x + -4y = 0

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

Add '-3x' to each side of the equation.
3x + -3x + -4y = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + -4y = 0 + -3x
-4y = 0 + -3x
Remove the zero:
-4y = -3x

Add '4y' to each side of the equation.
-4y + 4y = -3x + 4y

Combine like terms: -4y + 4y = 0
0 = -3x + 4y

Simplifying
0 = -3x + 4y

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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