Question

solve equation step by step

Answer 1

$P=\frac{k}{c+2t}$

To solve c:

1. Factor the denominator with c as a common factor:

$P=\frac{k}{c(1+2t)}$

2. Multiply both sides of the equation by c:

$\begin{gathered} c\times P=\frac{k}{c(1+2t)}\times c \\ \\ c\times P=\frac{k}{(1+2t)} \end{gathered}$

3. Divide both sides of the equation by P:

$\begin{gathered} c\times\frac{P}{P}=\frac{\frac{k}{(1+2t)}}{P} \\ \\ c=\frac{k}{P(1+2t)} \end{gathered}$

Then, the solution for c is:

$c=\frac{k}{P(1+2t)}$