(3+3i)-(-2-i)=0

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Solution for (3+3i)-(-2-i)=0 equation:


Simplifying
(3 + 3i) + -1(-2 + -1i) = 0

Remove parenthesis around (3 + 3i)
3 + 3i + -1(-2 + -1i) = 0
3 + 3i + (-2 * -1 + -1i * -1) = 0
3 + 3i + (2 + 1i) = 0

Reorder the terms:
3 + 2 + 3i + 1i = 0

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

Combine like terms: 3i + 1i = 4i
5 + 4i = 0

Solving
5 + 4i = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + 4i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4i = 0 + -5
4i = 0 + -5

Combine like terms: 0 + -5 = -5
4i = -5

Divide each side by '4'.
i = -1.25

Simplifying
i = -1.25

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