(–4x2–10x)+(4x2–6x+8).

Sure, let's solve the equation step by step:

1. First, let's break down the equation: (–4x^2 –10x) + (4x^2 –6x + 8).

2. Combine like terms:

   • The x^2 terms are -4x^2 and 4x^2. When you add these together, they cancel each other out (as -4x^2 + 4x^2 = 0).

   • The x terms are -10x and -6x. When you add these together, you get -16x (-10x - 6x = -16x).

   • The constant is just 8.

3. So, the simplified form of the equation is: 0x^2 - 16x + 8.

4. Since 0x^2 is just 0, we can drop that term.

5. Therefore, the final simplified form of the equation is: -16x + 8.