(x+yi)+(3-3i)=18

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Solution for (x+yi)+(3-3i)=18 equation:


Simplifying
(x + yi) + (3 + -3i) = 18

Reorder the terms:
(iy + x) + (3 + -3i) = 18

Remove parenthesis around (iy + x)
iy + x + (3 + -3i) = 18

Remove parenthesis around (3 + -3i)
iy + x + 3 + -3i = 18

Reorder the terms:
3 + -3i + iy + x = 18

Solving
3 + -3i + iy + x = 18

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -3i + iy + -3 + x = 18 + -3

Reorder the terms:
3 + -3 + -3i + iy + x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -3i + iy + x = 18 + -3
-3i + iy + x = 18 + -3

Combine like terms: 18 + -3 = 15
-3i + iy + x = 15

Add '-1x' to each side of the equation.
-3i + iy + x + -1x = 15 + -1x

Combine like terms: x + -1x = 0
-3i + iy + 0 = 15 + -1x
-3i + iy = 15 + -1x

Reorder the terms:
-15 + -3i + iy + x = 15 + -1x + -15 + x

Reorder the terms:
-15 + -3i + iy + x = 15 + -15 + -1x + x

Combine like terms: 15 + -15 = 0
-15 + -3i + iy + x = 0 + -1x + x
-15 + -3i + iy + x = -1x + x

Combine like terms: -1x + x = 0
-15 + -3i + iy + x = 0

The solution to this equation could not be determined.

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