How would you solve this problem??:

x^3 + 10x^2 + 24

You either have a typo or the problem is meaningless.

Opps, I made a typo!

The problem is:
x^3 + 10x^2 +24x

That is not an equation. If you want just to factor it it is:

x(x^2 + 10 x + 24)

which is x(x+6)(x+4)

To solve the given problem, which is an equation, we need to clarify what we want to achieve. If the equation is equal to zero, we can solve it for the value(s) of x that make the equation true. However, if we do not have an equation and are simply looking to simplify the expression, we can factor it or look for common factors.

Let's assume we want to solve the equation for x. To do this, we can use various methods such as factoring, the quadratic formula, or completing the square, depending on the complexity of the equation.

In this case, we have a cubic equation, so factoring may not be the most straightforward approach. Let's try factoring out the greatest common factor of the terms:

x^3 + 10x^2 + 24 = x^2(x + 10) + 24

Now, we have a quadratic expression: x^2(x + 10) + 24

To solve this equation, we would need additional information, such as setting it equal to zero or to a specific value. Please provide more details on what you would like to achieve with this equation, or let me know if you have any additional questions.