(16-9i)-(-10-5i)+(4-2i)=0

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Solution for (16-9i)-(-10-5i)+(4-2i)=0 equation:


Simplifying
(16 + -9i) + -1(-10 + -5i) + (4 + -2i) = 0

Remove parenthesis around (16 + -9i)
16 + -9i + -1(-10 + -5i) + (4 + -2i) = 0
16 + -9i + (-10 * -1 + -5i * -1) + (4 + -2i) = 0
16 + -9i + (10 + 5i) + (4 + -2i) = 0

Remove parenthesis around (4 + -2i)
16 + -9i + 10 + 5i + 4 + -2i = 0

Reorder the terms:
16 + 10 + 4 + -9i + 5i + -2i = 0

Combine like terms: 16 + 10 = 26
26 + 4 + -9i + 5i + -2i = 0

Combine like terms: 26 + 4 = 30
30 + -9i + 5i + -2i = 0

Combine like terms: -9i + 5i = -4i
30 + -4i + -2i = 0

Combine like terms: -4i + -2i = -6i
30 + -6i = 0

Solving
30 + -6i = 0

Solving for variable 'i'.

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

Add '-30' to each side of the equation.
30 + -30 + -6i = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6i = 0 + -30
-6i = 0 + -30

Combine like terms: 0 + -30 = -30
-6i = -30

Divide each side by '-6'.
i = 5

Simplifying
i = 5

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