(5.4+4.1i)-(4.8+2.6i)=

Solution for (5.4+4.1i)-(4.8+2.6i)= equation:

Simplifying
(5.4 + 4.1i) + -1(4.8 + 2.6i) = 0

Remove parenthesis around (5.4 + 4.1i)
5.4 + 4.1i + -1(4.8 + 2.6i) = 0
5.4 + 4.1i + (4.8 * -1 + 2.6i * -1) = 0
5.4 + 4.1i + (-4.8 + -2.6i) = 0

Reorder the terms:
5.4 + -4.8 + 4.1i + -2.6i = 0

Combine like terms: 5.4 + -4.8 = 0.6
0.6 + 4.1i + -2.6i = 0

Combine like terms: 4.1i + -2.6i = 1.5i
0.6 + 1.5i = 0

Solving
0.6 + 1.5i = 0

Solving for variable 'i'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 1.5i = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 1.5i = 0 + -0.6
1.5i = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
1.5i = -0.6

Divide each side by '1.5'.
i = -0.4

Simplifying
i = -0.4