Algebra Examples

$\frac{- 21 x}{- 7 + (- 28 x)}$

Step 1

Remove parentheses.

$\frac{- 21 x}{- 7 - 28 x}$

Step 2

Cancel the common factor of $- 21$ and $- 7 - 28 x$ .

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Step 2.1

Factor $7$ out of $- 21 x$ .

$\frac{7 (- 3 x)}{- 7 - 28 x}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $7$ out of $- 7$ .

$\frac{7 (- 3 x)}{7 (- 1) - 28 x}$

Step 2.2.2

Factor $7$ out of $- 28 x$ .

$\frac{7 (- 3 x)}{7 (- 1) + 7 (- 4 x)}$

Step 2.2.3

Factor $7$ out of $7 (- 1) + 7 (- 4 x)$ .

$\frac{7 (- 3 x)}{7 (- 1 - 4 x)}$

Step 2.2.4

Cancel the common factor.

$\frac{7 (- 3 x)}{7 (- 1 - 4 x)}$

Step 2.2.5

Rewrite the expression.

$\frac{- 3 x}{- 1 - 4 x}$

$\frac{- 3 x}{- 1 - 4 x}$

$\frac{- 3 x}{- 1 - 4 x}$

Step 3

Move the negative in front of the fraction.

$- \frac{3 x}{- 1 - 4 x}$

Step 4

Rewrite $- 1$ as $- 1 (1)$ .

$- \frac{3 x}{- 1 (1) - 4 x}$

Step 5

Factor $- 1$ out of $- 4 x$ .

$- \frac{3 x}{- 1 (1) - (4 x)}$

Step 6

Factor $- 1$ out of $- 1 (1) - (4 x)$ .

$- \frac{3 x}{- 1 (1 + 4 x)}$

Step 7

Simplify the expression.

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Step 7.1

Move the negative in front of the fraction.

$- - \frac{3 x}{1 + 4 x}$

Step 7.2

Multiply $- 1$ by $- 1$ .

$1 \frac{3 x}{1 + 4 x}$

Step 7.3

Multiply $\frac{3 x}{1 + 4 x}$ by $1$ .

$\frac{3 x}{1 + 4 x}$

$\frac{3 x}{1 + 4 x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$