(15+5i)-(7+3i)=

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Solution for (15+5i)-(7+3i)= equation:


Simplifying
(15 + 5i) + -1(7 + 3i) = 0

Remove parenthesis around (15 + 5i)
15 + 5i + -1(7 + 3i) = 0
15 + 5i + (7 * -1 + 3i * -1) = 0
15 + 5i + (-7 + -3i) = 0

Reorder the terms:
15 + -7 + 5i + -3i = 0

Combine like terms: 15 + -7 = 8
8 + 5i + -3i = 0

Combine like terms: 5i + -3i = 2i
8 + 2i = 0

Solving
8 + 2i = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + 2i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2i = 0 + -8
2i = 0 + -8

Combine like terms: 0 + -8 = -8
2i = -8

Divide each side by '2'.
i = -4

Simplifying
i = -4

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