Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Equation
(x + 5)/(x² + 7x + 10) = (x - 4)/ (x² - 2x - 8)
Process
1.- Factor both denominators
x² + 7x + 10 = (x + 5)(x + 2)
x² - 2x - 8 = (x - 4)(x + 2)
2.- Substitute
(x + 5) / (x + 5)(x + 2) = (x - 4)/(x - 4)(x - 2)
3.- Simplify
1/(x + 2) = 1/(x - 2)
4.- Solve for x (cross multiplication)
x - 2 = x + 2
x - x = 2 + 2
0 = 4
5.- Conclusion
The solution is all real numbers except -5, -2 and 4.
