Pre-Algebra Examples

$\frac{r^{2} - 4 r}{r} = 4$

Step 1

Factor each term.

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Step 1.1

Factor $r$ out of $r^{2} - 4 r$ .

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Step 1.1.1

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

$\frac{r \cdot r - 4 r}{r} = 4$

Step 1.1.2

Factor $r$ out of $- 4 r$ .

$\frac{r \cdot r + r \cdot - 4}{r} = 4$

Step 1.1.3

Factor $r$ out of $r \cdot r + r \cdot - 4$ .

$\frac{r (r - 4)}{r} = 4$

Step 1.2

Reduce the expression by cancelling the common factors.

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Step 1.2.1

Reduce the expression $\frac{r (r - 4)}{r}$ by cancelling the common factors.

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Step 1.2.1.1

Cancel the common factor.

$\frac{r (r - 4)}{r} = 4$

Step 1.2.1.2

Rewrite the expression.

$\frac{r - 4}{1} = 4$

Step 1.2.2

Divide $r - 4$ by $1$ .

$r - 4 = 4$

Step 2

Move all terms not containing $r$ to the right side of the equation.

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Step 2.1

Add $4$ to both sides of the equation.

$r = 4 + 4$

Step 2.2

Add $4$ and $4$ .

$r = 8$