Write in Standard Form x(x+3)=2

$x (x + 3) = 2$

Subtract $2$ from both sides of the equation.

$x (x + 3) - 2 = 0$

Simplify each term.

Apply the distributive property.

$x \cdot x + x \cdot 3 - 2 = 0$

Multiply $x$ by $x$ .

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

Move $3$ to the left of $x$ .

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

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

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

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

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