2-(10+3i)+(5-8i)=

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Solution for 2-(10+3i)+(5-8i)= equation:


Simplifying
2 + -1(10 + 3i) + (5 + -8i) = 0
2 + (10 * -1 + 3i * -1) + (5 + -8i) = 0
2 + (-10 + -3i) + (5 + -8i) = 0

Remove parenthesis around (5 + -8i)
2 + -10 + -3i + 5 + -8i = 0

Reorder the terms:
2 + -10 + 5 + -3i + -8i = 0

Combine like terms: 2 + -10 = -8
-8 + 5 + -3i + -8i = 0

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

Combine like terms: -3i + -8i = -11i
-3 + -11i = 0

Solving
-3 + -11i = 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 + -11i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -11i = 0 + 3
-11i = 0 + 3

Combine like terms: 0 + 3 = 3
-11i = 3

Divide each side by '-11'.
i = -0.2727272727

Simplifying
i = -0.2727272727

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