18.6+11.6i=4.8i-15.74-15.98

Solution for 18.6+11.6i=4.8i-15.74-15.98 equation:

Simplifying
18.6 + 11.6i = 4.8i + -15.74 + -15.98

Reorder the terms:
18.6 + 11.6i = -15.74 + -15.98 + 4.8i

Combine like terms: -15.74 + -15.98 = -31.72
18.6 + 11.6i = -31.72 + 4.8i

Solving
18.6 + 11.6i = -31.72 + 4.8i

Solving for variable 'i'.

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

Add '-4.8i' to each side of the equation.
18.6 + 11.6i + -4.8i = -31.72 + 4.8i + -4.8i

Combine like terms: 11.6i + -4.8i = 6.8i
18.6 + 6.8i = -31.72 + 4.8i + -4.8i

Combine like terms: 4.8i + -4.8i = 0.0
18.6 + 6.8i = -31.72 + 0.0
18.6 + 6.8i = -31.72

Add '-18.6' to each side of the equation.
18.6 + -18.6 + 6.8i = -31.72 + -18.6

Combine like terms: 18.6 + -18.6 = 0.0
0.0 + 6.8i = -31.72 + -18.6
6.8i = -31.72 + -18.6

Combine like terms: -31.72 + -18.6 = -50.32
6.8i = -50.32

Divide each side by '6.8'.
i = -7.4

Simplifying
i = -7.4