(8-(3*i))+(1+(5*i))=

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Solution for (8-(3*i))+(1+(5*i))= equation:


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

Remove parenthesis around (3i)
(8 + -1 * 3i) + (1 + (5i)) = 0

Multiply -1 * 3
(8 + -3i) + (1 + (5i)) = 0

Remove parenthesis around (8 + -3i)
8 + -3i + (1 + (5i)) = 0

Remove parenthesis around (1 + (5i))
8 + -3i + 1 + (5i) = 0

Reorder the terms:
8 + 1 + -3i + (5i) = 0

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

Combine like terms: -3i + (5i) = 2i
9 + 2i = 0

Solving
9 + 2i = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + 2i = 0 + -9

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

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

Divide each side by '2'.
i = -4.5

Simplifying
i = -4.5

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