What is - 0.4 (-5-2j) + 0.3j) = -0.2 (-3j + (12) ]+0.6+0.4

j = - 6.8

Step-by-step explanation:

Simplify both sides of equation

-0.4 (-5-2j) + 0.3j=-0.2 (-3j+12) + 0.6+0.4

(-0.4) (-5) + (-0.4) (-2j) + 0.3j = (-0.2) (-3j) + (-0.2) (12) + 0.6+0.4 (Distribute)

2+0.8j+0.3j=0.6j+-2.4+0.6+0.4

(0.8j+0.3j) + (2) = (0.6j) + (-2.4+0.6+0.4) (Combine Like Terms)

1.1j+2=0.6j+-1.4

1.1j+2=0.6j-1.4

Subtract 0.6j from both sides

1.1j+2-0.6j=0.6j-1.4-0.6j

0.5j+2=-1.4

Subtract 2 from both sides

0.5j+2-2=-1.4-2

0.5j=-3.4

Divide both sides by 0.5

0.5j/0.5 = - 3.4/0.5

j=-6.8