(7-4i)+(-2+5i)=9

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


Simplifying
(7 + -4i) + (-2 + 5i) = 9

Remove parenthesis around (7 + -4i)
7 + -4i + (-2 + 5i) = 9

Remove parenthesis around (-2 + 5i)
7 + -4i + -2 + 5i = 9

Reorder the terms:
7 + -2 + -4i + 5i = 9

Combine like terms: 7 + -2 = 5
5 + -4i + 5i = 9

Combine like terms: -4i + 5i = 1i
5 + 1i = 9

Solving
5 + 1i = 9

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + 1i = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 1i = 9 + -5
1i = 9 + -5

Combine like terms: 9 + -5 = 4
1i = 4

Divide each side by '1'.
i = 4

Simplifying
i = 4

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