2(3-7i)+(-4+5i)=

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

Simplifying
2(3 + -7i) + (-4 + 5i) = 0
(3 * 2 + -7i * 2) + (-4 + 5i) = 0
(6 + -14i) + (-4 + 5i) = 0

Remove parenthesis around (-4 + 5i)
6 + -14i + -4 + 5i = 0

Reorder the terms:
6 + -4 + -14i + 5i = 0

Combine like terms: 6 + -4 = 2
2 + -14i + 5i = 0

Combine like terms: -14i + 5i = -9i
2 + -9i = 0

Solving
2 + -9i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + -9i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9i = 0 + -2
-9i = 0 + -2

Combine like terms: 0 + -2 = -2
-9i = -2

Divide each side by '-9'.
i = 0.2222222222

Simplifying
i = 0.2222222222