Solve for r f(r)=3.14r^2

$f (r) = 3.14 r^{2}$

Subtract $3.14 r^{2}$ from both sides of the equation.

$f r - 3.14 r^{2} = 0$

Factor $r$ out of $f r - 3.14 r^{2}$ .

Factor $r$ out of $f r$ .

$r f - 3.14 r^{2} = 0$

Factor $r$ out of $- 3.14 r^{2}$ .

$r f + r (- 3.14 r) = 0$

Factor $r$ out of $r f + r (- 3.14 r)$ .

$r (f - 3.14 r) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$r = 0$

$f - 3.14 r = 0$

Set $r$ equal to $0$ .

$r = 0$

Set $f - 3.14 r$ equal to $0$ and solve for $r$ .

Set $f - 3.14 r$ equal to $0$ .

$f - 3.14 r = 0$

Solve $f - 3.14 r = 0$ for $r$ .

Subtract $f$ from both sides of the equation.

$- 3.14 r = - f$

Divide each term in $- 3.14 r = - f$ by $- 3.14$ and simplify.

Divide each term in $- 3.14 r = - f$ by $- 3.14$ .

$\frac{- 3.14 r}{- 3.14} = \frac{- f}{- 3.14}$

Simplify the left side.

Cancel the common factor of $- 3.14$ .

Cancel the common factor.

$\frac{- 3.14 r}{- 3.14} = \frac{- f}{- 3.14}$

Divide $r$ by $1$ .

$r = \frac{- f}{- 3.14}$

Simplify the right side.

Dividing two negative values results in a positive value.

$r = \frac{f}{3.14}$

Multiply by $1$ .

$r = \frac{1 f}{3.14}$

Factor $3.14$ out of $3.14$ .

$r = \frac{1 f}{3.14 (1)}$

Separate fractions.

$r = \frac{1}{3.14} \cdot \frac{f}{1}$

Divide $1$ by $3.14$ .

$r = 0.31847133 \frac{f}{1}$

Divide $f$ by $1$ .

$r = 0.31847133 f$

The final solution is all the values that make $r (f - 3.14 r) = 0$ true.

$r = 0$

$r = 0.31847133 f$

Solve for r f(r)=3.14r^2

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