Question

solve the formula for x.
v = 5πcx + 5πc²

Explanation:

Step1: Isolate the term with x

We start with the formula \( V = 5\pi c x+5\pi c^{2} \). To isolate the term containing \( x \), we subtract \( 5\pi c^{2} \) from both sides of the equation.

$$ V - 5\pi c^{2}=5\pi c x + 5\pi c^{2}- 5\pi c^{2} $$

Simplifying the right - hand side, we get \( V - 5\pi c^{2}=5\pi c x \).

Step2: Solve for x

Now, we divide both sides of the equation \( V - 5\pi c^{2}=5\pi c x \) by \( 5\pi c \) (assuming \( 5\pi c
eq0 \), i.e., \( c
eq0 \) and \( \pi
eq0 \)) to solve for \( x \).

$$ x=\frac{V - 5\pi c^{2}}{5\pi c} $$

We can also simplify this fraction as \( x=\frac{V}{5\pi c}-c \), but the form \( \frac{V - 5\pi c^{2}}{5\pi c} \) is also a valid solution for \( x \).

Answer:

\( x = \frac{V - 5\pi c^{2}}{5\pi c} \) (assuming \( c
eq0 \) and \( \pi
eq0 \))