Write in Standard Form 5x^2-12=2x^2+3

$5 x^{2} - 12 = 2 x^{2} + 3$

Step 1

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

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

$5 x^{2} - 12 - 2 x^{2} = 3$

Subtract $3$ from both sides of the equation.

$5 x^{2} - 12 - 2 x^{2} - 3 = 0$

Step 2

Simplify $5 x^{2} - 12 - 2 x^{2} - 3$ .

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

$3 x^{2} - 12 - 3 = 0$

Subtract $3$ from $- 12$ .

$3 x^{2} - 15 = 0$

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 $3 x^{2} - 15$ .

$3 x^{2} - 15 = 0$

Step 5