Solve for x. solve for x

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.

1 and 0

step-by-step explanation: