(9+5i)-(7+3i)=

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Solution for (9+5i)-(7+3i)= equation:


Simplifying
(9 + 5i) + -1(7 + 3i) = 0

Remove parenthesis around (9 + 5i)
9 + 5i + -1(7 + 3i) = 0
9 + 5i + (7 * -1 + 3i * -1) = 0
9 + 5i + (-7 + -3i) = 0

Reorder the terms:
9 + -7 + 5i + -3i = 0

Combine like terms: 9 + -7 = 2
2 + 5i + -3i = 0

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

Solving
2 + 2i = 0

Solving for variable 'i'.

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

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

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

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

Divide each side by '2'.
i = -1

Simplifying
i = -1

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