(14+5i)-((2-3i)+(4-8i))=

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Solution for (14+5i)-((2-3i)+(4-8i))= equation:


Simplifying
(14 + 5i) + -1((2 + -3i) + (4 + -8i)) = 0

Remove parenthesis around (14 + 5i)
14 + 5i + -1((2 + -3i) + (4 + -8i)) = 0

Remove parenthesis around (2 + -3i)
14 + 5i + -1(2 + -3i + (4 + -8i)) = 0

Remove parenthesis around (4 + -8i)
14 + 5i + -1(2 + -3i + 4 + -8i) = 0

Reorder the terms:
14 + 5i + -1(2 + 4 + -3i + -8i) = 0

Combine like terms: 2 + 4 = 6
14 + 5i + -1(6 + -3i + -8i) = 0

Combine like terms: -3i + -8i = -11i
14 + 5i + -1(6 + -11i) = 0
14 + 5i + (6 * -1 + -11i * -1) = 0
14 + 5i + (-6 + 11i) = 0

Reorder the terms:
14 + -6 + 5i + 11i = 0

Combine like terms: 14 + -6 = 8
8 + 5i + 11i = 0

Combine like terms: 5i + 11i = 16i
8 + 16i = 0

Solving
8 + 16i = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + 16i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 16i = 0 + -8
16i = 0 + -8

Combine like terms: 0 + -8 = -8
16i = -8

Divide each side by '16'.
i = -0.5

Simplifying
i = -0.5

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