Final answer:
To solve the expression (8x+ 4)(5x-5) for x, we expand the expression using the distributive property and then combine like terms to form the quadratic equation 40x² - 20x - 20 = 0. Further steps such as factoring or applying the quadratic formula would be needed to find the numerical solutions for x.
Step-by-step explanation:
To solve the expression (8x+ 4)(5x-5) for x, we first expand the expression by using the distributive property. We multiply each term in the first polynomial by each term in the second polynomial. This gives us:
8x * 5x + 8x * (-5) + 4 * 5x + 4 * (-5)
Simplifying the expression we get:
40x² - 40x + 20x - 20
Combining like terms, we obtain:
40x² - 20x - 20 = 0
This is a quadratic equation that can be solved by factoring, completing the square, or using the quadratic formula. However, we need a specific equation or additional context to find a numerical solution for x.