Question

solve the formula for the indicated variable.
s = 7πsd + 7πs² for d
d =
(use integers or fractions for any numbers in the expression. simplify your answer.)

Explanation:

Step1: Subtract \(7\pi s^2\) from both sides

To isolate the term with \(d\), we subtract \(7\pi s^2\) from both sides of the equation \(S = 7\pi sd+7\pi s^2\). This gives us \(S - 7\pi s^2=7\pi sd\).

Step2: Divide both sides by \(7\pi s\)

Now, to solve for \(d\), we divide both sides of the equation \(S - 7\pi s^2 = 7\pi sd\) by \(7\pi s\) (assuming \(7\pi s
eq0\)). So we have \(d=\frac{S - 7\pi s^2}{7\pi s}\), which can also be simplified as \(d=\frac{S}{7\pi s}-s\).

Answer:

\(\frac{S - 7\pi s^{2}}{7\pi s}\) (or \(\frac{S}{7\pi s}-s\))