Algebra Examples

$x = 0$ , $\frac{3 x + 15}{6 - x}$

Step 1

Replace the variable $x$ with $0$ in the expression.

$\frac{3 (0) + 15}{6 - (0)}$

Step 2

Cancel the common factor of $3 (0) + 15$ and $6 - (0)$ .

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Step 2.1

Rewrite $6$ as $- 1 (- 6)$ .

$\frac{3 (0) + 15}{- 1 (- 6) - (0)}$

Step 2.2

Factor $- 1$ out of $- 1 (- 6) - (0)$ .

$\frac{3 (0) + 15}{- 1 (- 6 + 0)}$

Step 2.3

Factor $3$ out of $15$ .

$\frac{3 (0) + 3 (5)}{- 1 (- 6 + 0)}$

Step 2.4

Factor $3$ out of $3 (0) + 3 (5)$ .

$\frac{3 (0 + 5)}{- 1 (- 6 + 0)}$

Step 2.5

Cancel the common factors.

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Step 2.5.1

Factor $3$ out of $- 1 (- 6 + 0)$ .

$\frac{3 (0 + 5)}{3 (- 1 (- 2 + 0))}$

Step 2.5.2

Cancel the common factor.

$\frac{3 (0 + 5)}{3 (- 1 (- 2 + 0))}$

Step 2.5.3

Rewrite the expression.

$\frac{0 + 5}{- 1 (- 2 + 0)}$

Step 3

Simplify the expression.

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Step 3.1

Add $0$ and $5$ .

$\frac{5}{- 1 (- 2 + 0)}$

Step 3.2

Add $- 2$ and $0$ .

$\frac{5}{- 1 \cdot - 2}$

Step 3.3

Multiply $- 1$ by $- 2$ .

$\frac{5}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$