Answer:
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
