x^2 + 6 = -8x

Is this linear, quadratic or exponential??

Linear will have terms containing variables not raised to any power, as well as constant terms.

Example: 2y+4x-3=0

A quadratic expression will have terms containing the variable raised to a maximum power of 2.
Example: x²+3x-4=0

An exponential expression will have terms which raise to a power containing the variable.
Example: 4x+4 - 65536 =0

So with the X being squared it would be exponential then?

x² 's exponent does not contain x, so it is not exponential.

It is exponential when the variable (for example, x) is found in the exponent, as in 3x+4x = 5x.
So x² is NOT exponential.

If you reread the examples, it will be much clearer.

To determine whether the equation is linear, quadratic, or exponential, we need to look at the highest power of the variable (in this case, x) in the equation.

In the given equation, x^2 is the highest power of x, which means that the equation is quadratic. A quadratic equation is an equation of degree 2, where the highest power of the variable is 2.

To solve this quadratic equation, we need to rearrange it into the standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are constants.

x^2 + 8x + 6 = 0

Now, we can see that the equation is a quadratic equation in standard form, and we can proceed to solve it using various methods such as factoring, completing the square, or using the quadratic formula.