Finite Math Examples

$\frac{3 x - 12}{16 - 4 x}$

Step 1

Simplify terms.

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Step 1.1

Factor $3$ out of $3 x - 12$ .

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Step 1.1.1

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 12}{16 - 4 x}$

Step 1.1.2

Factor $3$ out of $- 12$ .

$\frac{3 x + 3 \cdot - 4}{16 - 4 x}$

Step 1.1.3

Factor $3$ out of $3 x + 3 \cdot - 4$ .

$\frac{3 (x - 4)}{16 - 4 x}$

$\frac{3 (x - 4)}{16 - 4 x}$

Step 1.2

Factor $4$ out of $16 - 4 x$ .

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Step 1.2.1

Factor $4$ out of $16$ .

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

Step 1.2.2

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

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

Step 1.2.3

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

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

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

Step 1.3

Cancel the common factor of $x - 4$ and $4 - x$ .

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Step 1.3.1

Factor $- 1$ out of $x$ .

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

Step 1.3.2

Rewrite $- 4$ as $- 1 (4)$ .

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

Step 1.3.3

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

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

Step 1.3.4

Reorder terms.

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

Step 1.3.5

Cancel the common factor.

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

Step 1.3.6

Rewrite the expression.

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

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

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

Step 2

Multiply $3$ by $- 1$ .

$\frac{- 3}{4}$

Step 3

Move the negative in front of the fraction.

$- \frac{3}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{4}$

Decimal Form:

$- 0.75$

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