Write in Standard Form 5+x^2+x=3+5x^2

$5 + x^{2} + x = 3 + 5 x^{2}$

Step 1

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

Subtract $3$ from both sides of the equation.

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

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

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

Step 2

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

Subtract $3$ from $5$ .

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

Subtract $5 x^{2}$ from $x^{2}$ .

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

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

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

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

Step 5