Simplify (16x^2-56x+60x^2)/(-14+19x)

$\frac{16 x^{2} - 56 x + 60 x^{2}}{- 14 + 19 x}$

Simplify the numerator.

Add $16 x^{2}$ and $60 x^{2}$ .

$\frac{76 x^{2} - 56 x}{- 14 + 19 x}$

Factor $4 x$ out of $76 x^{2} - 56 x$ .

Factor $4 x$ out of $76 x^{2}$ .

$\frac{4 x (19 x) - 56 x}{- 14 + 19 x}$

Factor $4 x$ out of $- 56 x$ .

$\frac{4 x (19 x) + 4 x (- 14)}{- 14 + 19 x}$

Factor $4 x$ out of $4 x (19 x) + 4 x (- 14)$ .

$\frac{4 x (19 x - 14)}{- 14 + 19 x}$

Cancel the common factor of $19 x - 14$ and $- 14 + 19 x$ .

Reorder terms.

$\frac{4 x (19 x - 14)}{19 x - 14}$

Cancel the common factor.

$\frac{4 x (19 x - 14)}{19 x - 14}$

Divide $4 x$ by $1$ .

$4 x$