Write in Standard Form -5x-13+7x^2=3x^2

$- 5 x - 13 + 7 x^{2} = 3 x^{2}$

Subtract $3 x^{2}$ from both sides of the equation.

$- 5 x - 13 + 7 x^{2} - 3 x^{2} = 0$

Subtract $3 x^{2}$ from $7 x^{2}$ .

$- 5 x - 13 + 4 x^{2} = 0$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

Move $- 13$ .

$- 5 x + 4 x^{2} - 13 = 0$

Reorder $- 5 x$ and $4 x^{2}$ .

$4 x^{2} - 5 x - 13 = 0$