Write in Standard Form 6x-12+x^2=-3x^2

$6 x - 12 + x^{2} = - 3 x^{2}$

Add $3 x^{2}$ to both sides of the equation.

$6 x - 12 + x^{2} + 3 x^{2} = 0$

Add $x^{2}$ and $3 x^{2}$ .

$6 x - 12 + 4 x^{2} = 0$

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

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

Move $- 12$ .

$6 x + 4 x^{2} - 12 = 0$

Reorder $6 x$ and $4 x^{2}$ .

$4 x^{2} + 6 x - 12 = 0$