Write in Standard Form 2x+x^2=-13

$2 x + x^{2} = - 13$

Add $13$ to both sides of the equation.

$2 x + x^{2} + 13 = 0$

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

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

Reorder $2 x$ and $x^{2}$ .

$x^{2} + 2 x + 13 = 0$