(x+y)(3+4i)=7+26i

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Solution for (x+y)(3+4i)=7+26i equation: 


Simplifying
(x + y)(3 + 4i) = 7 + 26i

Multiply (x + y) * (3 + 4i)
(x(3 + 4i) + y(3 + 4i)) = 7 + 26i
((3 * x + 4i * x) + y(3 + 4i)) = 7 + 26i

Reorder the terms:
((4ix + 3x) + y(3 + 4i)) = 7 + 26i
((4ix + 3x) + y(3 + 4i)) = 7 + 26i
(4ix + 3x + (3 * y + 4i * y)) = 7 + 26i

Reorder the terms:
(4ix + 3x + (4iy + 3y)) = 7 + 26i
(4ix + 3x + (4iy + 3y)) = 7 + 26i

Reorder the terms:
(4ix + 4iy + 3x + 3y) = 7 + 26i
(4ix + 4iy + 3x + 3y) = 7 + 26i

Solving
4ix + 4iy + 3x + 3y = 7 + 26i

Solving for variable 'i'.

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

Add '-26i' to each side of the equation.
4ix + 4iy + 3x + -26i + 3y = 7 + 26i + -26i

Reorder the terms:
-26i + 4ix + 4iy + 3x + 3y = 7 + 26i + -26i

Combine like terms: 26i + -26i = 0
-26i + 4ix + 4iy + 3x + 3y = 7 + 0
-26i + 4ix + 4iy + 3x + 3y = 7

Add '-3x' to each side of the equation.
-26i + 4ix + 4iy + 3x + -3x + 3y = 7 + -3x

Combine like terms: 3x + -3x = 0
-26i + 4ix + 4iy + 0 + 3y = 7 + -3x
-26i + 4ix + 4iy + 3y = 7 + -3x

Add '-3y' to each side of the equation.
-26i + 4ix + 4iy + 3y + -3y = 7 + -3x + -3y

Combine like terms: 3y + -3y = 0
-26i + 4ix + 4iy + 0 = 7 + -3x + -3y
-26i + 4ix + 4iy = 7 + -3x + -3y

Reorder the terms:
-7 + -26i + 4ix + 4iy + 3x + 3y = 7 + -3x + -3y + -7 + 3x + 3y

Reorder the terms:
-7 + -26i + 4ix + 4iy + 3x + 3y = 7 + -7 + -3x + 3x + -3y + 3y

Combine like terms: 7 + -7 = 0
-7 + -26i + 4ix + 4iy + 3x + 3y = 0 + -3x + 3x + -3y + 3y
-7 + -26i + 4ix + 4iy + 3x + 3y = -3x + 3x + -3y + 3y

Combine like terms: -3x + 3x = 0
-7 + -26i + 4ix + 4iy + 3x + 3y = 0 + -3y + 3y
-7 + -26i + 4ix + 4iy + 3x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-7 + -26i + 4ix + 4iy + 3x + 3y = 0

The solution to this equation could not be determined.

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