Question

Solve |2c+8|=|10c|
.

Answer 1

c1= -2(over)-3 , c2=1

Answer 2

`c = 1\text{ or }c = -(2)/(3)`

Explanation:

Here, the given equation,

|2c+8|=|10c|

( since, |x| = x if x > 0 and |x| = -x if x < 0 )

⇒ 2c + 8 = ± 10c

⇒ 8 = -2c ± 10c

⇒ 8 = -2c + 10c or 8 = -2c - 10c

⇒ 8 = 8c or 8 = -12c

`\implies c = 1\text{ or }c = (8)/(-12)=-(2)/(3)`