Write in Standard Form x(x+4)=-3

$x (x + 4) = - 3$

Add $3$ to both sides of the equation.

$x (x + 4) + 3 = 0$

Simplify each term.

Apply the distributive property.

$x \cdot x + x \cdot 4 + 3 = 0$

Multiply $x$ by $x$ .

$x^{2} + x \cdot 4 + 3 = 0$

Move $4$ to the left of $x$ .

$x^{2} + 4 x + 3 = 0$

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

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

The standard form is $x^{2} + 4 x + 3$ .

$x^{2} + 4 x + 3 = 0$