what is 2x^2-2=-5x-1 in standard form?

To express the equation 2x^2 - 2 = -5x - 1 in standard form, we need to rearrange the terms so that the equation is written as Ax^2 + Bx + C = 0, where A, B, and C are constants.

Step 1: Move all terms to one side of the equation:
2x^2 - 2 + 5x + 1 = 0

Step 2: Combine like terms:
2x^2 + 5x - 1 = 0

Now, the equation is in standard form.

Quadratic equations are usually written with all terms on one side equal to zero

so ...
2x^2 + 5x - 1 = 0

we used to call this the general form of a quadratic.