It looks like you're dealing with a quadratic expression. The equation you've provided is:

$x^2 - 4x - 32$

If you would like to factor this expression, let's first try factoring it.

The general form of a quadratic expression is:

$ax^2 + bx + c$

where $a = 1$, $b = -4$, and $c = -32$. To factor, we need to find two numbers that multiply to give $ac$ (which is $1 \times -32 = -32$) and add up to $b$ (which is $-4$).

The numbers that work here are $-8$ and $4$, because:

$-8 \times 4 = -32$ $-8 + 4 = -4$

So, we can rewrite the middle term as:

$x^2 - 8x + 4x - 32$

Now, we can group terms:

$(x^2 - 8x) + (4x - 32)$

Factor each group:

$x(x - 8) + 4(x - 8)$

Finally, factor out the common term $(x - 8)$:

$(x - 8)(x + 4)$

So, the factored form of the quadratic expression is:

$(x - 8)(x + 4)$

If you meant to set this equal to something (like 0), or if you need help with a different aspect of this expression, feel free to clarify!

Would you like more details or have any questions on this? Here are some related questions you could explore next:

1. How do you solve a quadratic equation after factoring it?
2. What is the quadratic formula, and when should it be used?
3. How do you complete the square to solve a quadratic equation?
4. What are the properties of the roots of a quadratic equation?
5. How can you graph a quadratic equation?

Tip: When factoring quadratics, always look for common factors first before trying to split the middle term.