(5-2i)-(6-3i)=

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Solution for (5-2i)-(6-3i)= equation:


Simplifying
(5 + -2i) + -1(6 + -3i) = 0

Remove parenthesis around (5 + -2i)
5 + -2i + -1(6 + -3i) = 0
5 + -2i + (6 * -1 + -3i * -1) = 0
5 + -2i + (-6 + 3i) = 0

Reorder the terms:
5 + -6 + -2i + 3i = 0

Combine like terms: 5 + -6 = -1
-1 + -2i + 3i = 0

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

Solving
-1 + 1i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 1i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1i = 0 + 1
1i = 0 + 1

Combine like terms: 0 + 1 = 1
1i = 1

Divide each side by '1'.
i = 1

Simplifying
i = 1

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