Write in Standard Form 5x^2-6=-x

$5 x^{2} - 6 = - x$

Add $x$ to both sides of the equation.

$5 x^{2} - 6 + x = 0$

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

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

Move $- 6$ .

$5 x^{2} + x - 6 = 0$