(3 + 2i) + (4 – 5i) solve the equation .

7 - 3 i

Step-by-step explanation:

Simplifying

(3 + -2i) + (4 + -5i) = 0

Remove parenthesis around (3 + -2i)

3 + -2i + (4 + -5i) = 0

Remove parenthesis around (4 + -5i)

3 + -2i + 4 + -5i = 0

Reorder the terms:

3 + 4 + -2i + -5i = 0

Combine like terms: 3 + 4 = 7

7 + -2i + -5i = 0

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

7 + -7i = 0

Solving

7 + -7i = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.

7 + -7 + -7i = 0 + -7

Combine like terms: 7 + -7 = 0

0 + -7i = 0 + -7

-7i = 0 + -7

Combine like terms: 0 + -7 = -7

-7i = -7

Divide each side by '-7'.

i = 1

Simplifying

i = 1

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step-by-step explanation:

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