3-(-9+3i)-(2-i)=

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Solution for 3-(-9+3i)-(2-i)= equation:


Simplifying
3 + -1(-9 + 3i) + -1(2 + -1i) = 0
3 + (-9 * -1 + 3i * -1) + -1(2 + -1i) = 0
3 + (9 + -3i) + -1(2 + -1i) = 0
3 + 9 + -3i + (2 * -1 + -1i * -1) = 0
3 + 9 + -3i + (-2 + 1i) = 0

Reorder the terms:
3 + 9 + -2 + -3i + 1i = 0

Combine like terms: 3 + 9 = 12
12 + -2 + -3i + 1i = 0

Combine like terms: 12 + -2 = 10
10 + -3i + 1i = 0

Combine like terms: -3i + 1i = -2i
10 + -2i = 0

Solving
10 + -2i = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -10 + -2i = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2i = 0 + -10
-2i = 0 + -10

Combine like terms: 0 + -10 = -10
-2i = -10

Divide each side by '-2'.
i = 5

Simplifying
i = 5

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