(3+4i)-(7-5i)+2i(9+12i)=x

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Solution for (3+4i)-(7-5i)+2i(9+12i)=x equation:


Simplifying
(3 + 4i) + -1(7 + -5i) + 2i(9 + 12i) = x

Remove parenthesis around (3 + 4i)
3 + 4i + -1(7 + -5i) + 2i(9 + 12i) = x
3 + 4i + (7 * -1 + -5i * -1) + 2i(9 + 12i) = x
3 + 4i + (-7 + 5i) + 2i(9 + 12i) = x
3 + 4i + -7 + 5i + (9 * 2i + 12i * 2i) = x
3 + 4i + -7 + 5i + (18i + 24i2) = x

Reorder the terms:
3 + -7 + 4i + 5i + 18i + 24i2 = x

Combine like terms: 3 + -7 = -4
-4 + 4i + 5i + 18i + 24i2 = x

Combine like terms: 4i + 5i = 9i
-4 + 9i + 18i + 24i2 = x

Combine like terms: 9i + 18i = 27i
-4 + 27i + 24i2 = x

Solving
-4 + 27i + 24i2 = x

Solving for variable 'i'.

Combine like terms: x + -1x = 0
-4 + 27i + 24i2 + -1x = 0

The solution to this equation could not be determined.

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