Question

find the value of x​

Answer 1

Answer:

x = -1/2 and -4

Step-by-step explanation:

(7x + 1)/(7x - 5) = (5x - 7)/(2x + 1)

(7x + 1)(2x + 1) = (5x - 7)(2x + 1)

14x² + 7x + 2x + 1 = 10x² + 5x - 14x - 7

14x² + 7x + 2x + 1- 10x² - 5x + 14x + 7= 0

4x² + 9x + 1 + 9x + 7 = 0

4x² + 18x + 8 = 0

4x² + 16x + 2x + 8 = 0

4x(x + 4).+2(x + 4) = 0

(4x + 2)(x + 4) = 0

4x = -2 and x = -4

x = -2/4 and x = -4

x = -1\2 and -4