Write in Standard Form 9-7x+4x^2=-2x-5+x^2

$9 - 7 x + 4 x^{2} = - 2 x - 5 + x^{2}$

Step 1

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

Add $2 x$ to both sides of the equation.

$9 - 7 x + 4 x^{2} + 2 x = - 5 + x^{2}$

Add $5$ to both sides of the equation.

$9 - 7 x + 4 x^{2} + 2 x + 5 = x^{2}$

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

$9 - 7 x + 4 x^{2} + 2 x + 5 - x^{2} = 0$

Step 2

Simplify $9 - 7 x + 4 x^{2} + 2 x + 5 - x^{2}$ .

Add $9$ and $5$ .

$- 7 x + 4 x^{2} + 2 x + 14 - x^{2} = 0$

Add $- 7 x$ and $2 x$ .

$4 x^{2} - 5 x + 14 - x^{2} = 0$

Subtract $x^{2}$ from $4 x^{2}$ .

$3 x^{2} - 5 x + 14 = 0$

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 $3 x^{2} - 5 x + 14$ .

$3 x^{2} - 5 x + 14 = 0$

Step 5