6-(-4+9i)-(-4-i)=

Solution for 6-(-4+9i)-(-4-i)= equation:

Simplifying
6 + -1(-4 + 9i) + -1(-4 + -1i) = 0
6 + (-4 * -1 + 9i * -1) + -1(-4 + -1i) = 0
6 + (4 + -9i) + -1(-4 + -1i) = 0
6 + 4 + -9i + (-4 * -1 + -1i * -1) = 0
6 + 4 + -9i + (4 + 1i) = 0

Reorder the terms:
6 + 4 + 4 + -9i + 1i = 0

Combine like terms: 6 + 4 = 10
10 + 4 + -9i + 1i = 0

Combine like terms: 10 + 4 = 14
14 + -9i + 1i = 0

Combine like terms: -9i + 1i = -8i
14 + -8i = 0

Solving
14 + -8i = 0

Solving for variable 'i'.

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

Add '-14' to each side of the equation.
14 + -14 + -8i = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -8i = 0 + -14
-8i = 0 + -14

Combine like terms: 0 + -14 = -14
-8i = -14

Divide each side by '-8'.
i = 1.75

Simplifying
i = 1.75