-i+(8-2i)-(5-9i)=0

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Solution for -i+(8-2i)-(5-9i)=0 equation:


Simplifying
-1i + (8 + -2i) + -1(5 + -9i) = 0

Remove parenthesis around (8 + -2i)
-1i + 8 + -2i + -1(5 + -9i) = 0
-1i + 8 + -2i + (5 * -1 + -9i * -1) = 0
-1i + 8 + -2i + (-5 + 9i) = 0

Reorder the terms:
8 + -5 + -1i + -2i + 9i = 0

Combine like terms: 8 + -5 = 3
3 + -1i + -2i + 9i = 0

Combine like terms: -1i + -2i = -3i
3 + -3i + 9i = 0

Combine like terms: -3i + 9i = 6i
3 + 6i = 0

Solving
3 + 6i = 0

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 + -3 + 6i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 6i = 0 + -3
6i = 0 + -3

Combine like terms: 0 + -3 = -3
6i = -3

Divide each side by '6'.
i = -0.5

Simplifying
i = -0.5

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