6(2.9j+5.6)=-4(3.1-7.3j)+2.1

Solution for 6(2.9j+5.6)=-4(3.1-7.3j)+2.1 equation:

Simplifying
6(2.9j + 5.6) = -4(3.1 + -7.3j) + 2.1

Reorder the terms:
6(5.6 + 2.9j) = -4(3.1 + -7.3j) + 2.1
(5.6 * 6 + 2.9j * 6) = -4(3.1 + -7.3j) + 2.1
(33.6 + 17.4j) = -4(3.1 + -7.3j) + 2.1
33.6 + 17.4j = (3.1 * -4 + -7.3j * -4) + 2.1
33.6 + 17.4j = (-12.4 + 29.2j) + 2.1

Reorder the terms:
33.6 + 17.4j = -12.4 + 2.1 + 29.2j

Combine like terms: -12.4 + 2.1 = -10.3
33.6 + 17.4j = -10.3 + 29.2j

Solving
33.6 + 17.4j = -10.3 + 29.2j

Solving for variable 'j'.

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

Add '-29.2j' to each side of the equation.
33.6 + 17.4j + -29.2j = -10.3 + 29.2j + -29.2j

Combine like terms: 17.4j + -29.2j = -11.8j
33.6 + -11.8j = -10.3 + 29.2j + -29.2j

Combine like terms: 29.2j + -29.2j = 0.0
33.6 + -11.8j = -10.3 + 0.0
33.6 + -11.8j = -10.3

Add '-33.6' to each side of the equation.
33.6 + -33.6 + -11.8j = -10.3 + -33.6

Combine like terms: 33.6 + -33.6 = 0.0
0.0 + -11.8j = -10.3 + -33.6
-11.8j = -10.3 + -33.6

Combine like terms: -10.3 + -33.6 = -43.9
-11.8j = -43.9

Divide each side by '-11.8'.
j = 3.720338983

Simplifying
j = 3.720338983