Question

|4c-10|=50 solve c in simplest form

Answer 1

The given equation is:

`|4c-10|=50`

Recall that:

`|x|=\begin{cases}{-x\text{ for }x\lt0} \\ {} \\ {x}\text{ for }x\geq0\end{cases}`

Suppose (4c - 10) < 0, it follows that:

`\begin{gathered} -(4c-10)=50 \\ 4c-10=-50 \\ 4c=-50+10 \\ 4c=-40 \\ c=-(40)/(4) \\ c=-10 \end{gathered}`

Suppose (4c - 10) ≥ 0, it follows that:

`\begin{gathered} (4c-10)=50 \\ 4c-10=50 \\ 4c=50+10 \\ 4c=60 \\ c=(60)/(4) \\ c=15 \end{gathered}`

Therefore, the solution is:

c = -10 and c =15

.