Write in Standard Form -13+7x=-1+5x^2

$- 13 + 7 x = - 1 + 5 x^{2}$

Step 1

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

Add $1$ to both sides of the equation.

$- 13 + 7 x + 1 = 5 x^{2}$

Subtract $5 x^{2}$ from both sides of the equation.

$- 13 + 7 x + 1 - 5 x^{2} = 0$

Step 2

Add $- 13$ and $1$ .

$7 x - 12 - 5 x^{2} = 0$

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

Move $- 12$ .

$7 x - 5 x^{2} - 12 = 0$

Step 5

Reorder $7 x$ and $- 5 x^{2}$ .

$- 5 x^{2} + 7 x - 12 = 0$

Step 6