(9+3i)+(x+yi)=(-8-6i)

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Solution for (9+3i)+(x+yi)=(-8-6i) equation: 


Simplifying
(9 + 3i) + (x + yi) = (-8 + -6i)

Remove parenthesis around (9 + 3i)
9 + 3i + (x + yi) = (-8 + -6i)

Reorder the terms:
9 + 3i + (iy + x) = (-8 + -6i)

Remove parenthesis around (iy + x)
9 + 3i + iy + x = (-8 + -6i)

Remove parenthesis around (-8 + -6i)
9 + 3i + iy + x = -8 + -6i

Solving
9 + 3i + iy + x = -8 + -6i

Solving for variable 'i'.

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

Add '6i' to each side of the equation.
9 + 3i + iy + 6i + x = -8 + -6i + 6i

Reorder the terms:
9 + 3i + 6i + iy + x = -8 + -6i + 6i

Combine like terms: 3i + 6i = 9i
9 + 9i + iy + x = -8 + -6i + 6i

Combine like terms: -6i + 6i = 0
9 + 9i + iy + x = -8 + 0
9 + 9i + iy + x = -8

Add '-9' to each side of the equation.
9 + 9i + iy + -9 + x = -8 + -9

Reorder the terms:
9 + -9 + 9i + iy + x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 9i + iy + x = -8 + -9
9i + iy + x = -8 + -9

Combine like terms: -8 + -9 = -17
9i + iy + x = -17

Add '-1x' to each side of the equation.
9i + iy + x + -1x = -17 + -1x

Combine like terms: x + -1x = 0
9i + iy + 0 = -17 + -1x
9i + iy = -17 + -1x

Reorder the terms:
17 + 9i + iy + x = -17 + -1x + 17 + x

Reorder the terms:
17 + 9i + iy + x = -17 + 17 + -1x + x

Combine like terms: -17 + 17 = 0
17 + 9i + iy + x = 0 + -1x + x
17 + 9i + iy + x = -1x + x

Combine like terms: -1x + x = 0
17 + 9i + iy + x = 0

The solution to this equation could not be determined.

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