Simplify (6-8x)/(4x^2-3x)

$\frac{6 - 8 x}{4 x^{2} - 3 x}$

Simplify terms.

Factor $2$ out of $6 - 8 x$ .

Factor $2$ out of $6$ .

$\frac{2 (3) - 8 x}{4 x^{2} - 3 x}$

Factor $2$ out of $- 8 x$ .

$\frac{2 (3) + 2 (- 4 x)}{4 x^{2} - 3 x}$

Factor $2$ out of $2 (3) + 2 (- 4 x)$ .

$\frac{2 (3 - 4 x)}{4 x^{2} - 3 x}$

$\frac{2 (3 - 4 x)}{4 x^{2} - 3 x}$

Factor $x$ out of $4 x^{2} - 3 x$ .

Factor $x$ out of $4 x^{2}$ .

$\frac{2 (3 - 4 x)}{x (4 x) - 3 x}$

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

$\frac{2 (3 - 4 x)}{x (4 x) + x \cdot - 3}$

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

$\frac{2 (3 - 4 x)}{x (4 x - 3)}$

$\frac{2 (3 - 4 x)}{x (4 x - 3)}$

Cancel the common factor of $3 - 4 x$ and $4 x - 3$ .

Rewrite $3$ as $- 1 (- 3)$ .

$\frac{2 (- 1 (- 3) - 4 x)}{x (4 x - 3)}$

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

$\frac{2 (- 1 (- 3) - (4 x))}{x (4 x - 3)}$

Factor $- 1$ out of $- 1 (- 3) - (4 x)$ .

$\frac{2 (- 1 (- 3 + 4 x))}{x (4 x - 3)}$

Reorder terms.

$\frac{2 (- 1 (4 x - 3))}{x (4 x - 3)}$

Cancel the common factor.

$\frac{2 (- 1 (4 x - 3))}{x (4 x - 3)}$

Rewrite the expression.

$\frac{2 \cdot (- 1)}{x}$

$\frac{2 \cdot (- 1)}{x}$

$\frac{2 \cdot (- 1)}{x}$

Multiply $2$ by $- 1$ .

$\frac{- 2}{x}$

Move the negative in front of the fraction.

$- \frac{2}{x}$

Related Questions