2x+7+(3-7)i=3x+4yi

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Solution for 2x+7+(3-7)i=3x+4yi equation:


Simplifying
2x + 7 + (3 + -7) * i = 3x + 4yi

Combine like terms: 3 + -7 = -4
2x + 7 + (-4) * i = 3x + 4yi

Reorder the terms:
7 + -4i + 2x = 3x + 4yi

Reorder the terms:
7 + -4i + 2x = 4iy + 3x

Solving
7 + -4i + 2x = 4iy + 3x

Solving for variable 'i'.

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

Add '-4iy' to each side of the equation.
7 + -4i + -4iy + 2x = 4iy + -4iy + 3x

Combine like terms: 4iy + -4iy = 0
7 + -4i + -4iy + 2x = 0 + 3x
7 + -4i + -4iy + 2x = 3x

Add '-7' to each side of the equation.
7 + -4i + -4iy + -7 + 2x = -7 + 3x

Reorder the terms:
7 + -7 + -4i + -4iy + 2x = -7 + 3x

Combine like terms: 7 + -7 = 0
0 + -4i + -4iy + 2x = -7 + 3x
-4i + -4iy + 2x = -7 + 3x

Add '-2x' to each side of the equation.
-4i + -4iy + 2x + -2x = -7 + 3x + -2x

Combine like terms: 2x + -2x = 0
-4i + -4iy + 0 = -7 + 3x + -2x
-4i + -4iy = -7 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-4i + -4iy = -7 + 1x

Reorder the terms:
7 + -4i + -4iy + -1x = -7 + 1x + 7 + -1x

Reorder the terms:
7 + -4i + -4iy + -1x = -7 + 7 + 1x + -1x

Combine like terms: -7 + 7 = 0
7 + -4i + -4iy + -1x = 0 + 1x + -1x
7 + -4i + -4iy + -1x = 1x + -1x

Combine like terms: 1x + -1x = 0
7 + -4i + -4iy + -1x = 0

The solution to this equation could not be determined.

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