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:

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

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

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

Therefore, the solution is:

c = -10 and c =15

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