(4-i)-(7+4i)=

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Solution for (4-i)-(7+4i)= equation:


Simplifying
(4 + -1i) + -1(7 + 4i) = 0

Remove parenthesis around (4 + -1i)
4 + -1i + -1(7 + 4i) = 0
4 + -1i + (7 * -1 + 4i * -1) = 0
4 + -1i + (-7 + -4i) = 0

Reorder the terms:
4 + -7 + -1i + -4i = 0

Combine like terms: 4 + -7 = -3
-3 + -1i + -4i = 0

Combine like terms: -1i + -4i = -5i
-3 + -5i = 0

Solving
-3 + -5i = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 3 + -5i = 0 + 3

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

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

Divide each side by '-5'.
i = -0.6

Simplifying
i = -0.6

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