Write in Standard Form 5+5x^2-2x=3x^2-4

$5 + 5 x^{2} - 2 x = 3 x^{2} - 4$

Step 1

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

Subtract $3 x^{2}$ from both sides of the equation.

$5 + 5 x^{2} - 2 x - 3 x^{2} = - 4$

Add $4$ to both sides of the equation.

$5 + 5 x^{2} - 2 x - 3 x^{2} + 4 = 0$

Step 2

Simplify $5 + 5 x^{2} - 2 x - 3 x^{2} + 4$ .

Add $5$ and $4$ .

$5 x^{2} - 2 x - 3 x^{2} + 9 = 0$

Subtract $3 x^{2}$ from $5 x^{2}$ .

$2 x^{2} - 2 x + 9 = 0$

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 $2 x^{2} - 2 x + 9$ .

$2 x^{2} - 2 x + 9 = 0$

Step 5