Question

S = kr^(2)+krl, for K

... I've been trying to solve it but I keep getting different answers. If someone can show me the steps in getting the answer; I'll appreciate it.

Answer 1

k = S/(r^2 + rl).

Explanation:

S = kr^(2) + krl

Factor the right side:

S = k(r^2 + rl)

Divide both sides by (r^2 + rl):

k = S/(r^2 + rl).

Answer 2

Start with

`S=kr^2+krl`

Factor k on the right hand side:

`S=k(r^2+rl)`

Assuming
`r^2+rl\\eq 0`, divide both sides by this quantity:

`(S)/(r^2+rl)=(k(r^2+rl))/(r^2+rl)`

Simplify the right hand side:

`(S)/(r^2+rl)=k`

And thus we have solved the expression for k:

`k=(S)/(r^2+rl)`