Write in Standard Form 15+4x^2=-2x+3x^2+4

$15 + 4 x^{2} = - 2 x + 3 x^{2} + 4$

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

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

$15 + 4 x^{2} + 2 x = 3 x^{2} + 4$

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

$15 + 4 x^{2} + 2 x - 3 x^{2} = 4$

Subtract $4$ from both sides of the equation.

$15 + 4 x^{2} + 2 x - 3 x^{2} - 4 = 0$

Simplify $15 + 4 x^{2} + 2 x - 3 x^{2} - 4$ .

Subtract $4$ from $15$ .

$4 x^{2} + 2 x - 3 x^{2} + 11 = 0$

Subtract $3 x^{2}$ from $4 x^{2}$ .

$x^{2} + 2 x + 11 = 0$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

The standard form is $x^{2} + 2 x + 11$ .

$x^{2} + 2 x + 11 = 0$