Final answer:
After expanding and simplifying the given expression, substituting x = -2 into the equation yields a numerical value of 27.4.
Step-by-step explanation:
To simplify and find the numerical value for the expression given when x = -2, let's first expand the equation:
2.3(2x - 4) + x² + 5
Expanding we get:
-4.6x + 9.2 + x² + 5
Combining like terms:
x² - 4.6x + 14.2
Now, we substitute x = -2 into the simplified expression:
(-2)² - 4.6(-2) + 14.2
4 + 9.2 + 14.2
27.4
The numerical value of the expression when x = -2 is 27.4.