Write in Standard Form -x^2-2x+1=x^2-3x

$- x^{2} - 2 x + 1 = x^{2} - 3 x$

Step 1

Move all the expressions to the left side of the equation.

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

$- x^{2} - 2 x + 1 - x^{2} = - 3 x$

Add $3 x$ to both sides of the equation.

$- x^{2} - 2 x + 1 - x^{2} + 3 x = 0$

Step 2

Simplify $- x^{2} - 2 x + 1 - x^{2} + 3 x$ .

Subtract $x^{2}$ from $- x^{2}$ .

$- 2 x^{2} - 2 x + 1 + 3 x = 0$

Add $- 2 x$ and $3 x$ .

$- 2 x^{2} + x + 1 = 0$

Step 3

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

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

Step 4

The standard form is $- 2 x^{2} + x + 1$ .

$- 2 x^{2} + x + 1 = 0$

Step 5