(5+3i)-(12-11i)=

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Solution for (5+3i)-(12-11i)= equation:


Simplifying
(5 + 3i) + -1(12 + -11i) = 0

Remove parenthesis around (5 + 3i)
5 + 3i + -1(12 + -11i) = 0
5 + 3i + (12 * -1 + -11i * -1) = 0
5 + 3i + (-12 + 11i) = 0

Reorder the terms:
5 + -12 + 3i + 11i = 0

Combine like terms: 5 + -12 = -7
-7 + 3i + 11i = 0

Combine like terms: 3i + 11i = 14i
-7 + 14i = 0

Solving
-7 + 14i = 0

Solving for variable 'i'.

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

Add '7' to each side of the equation.
-7 + 7 + 14i = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 14i = 0 + 7
14i = 0 + 7

Combine like terms: 0 + 7 = 7
14i = 7

Divide each side by '14'.
i = 0.5

Simplifying
i = 0.5

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