Question

solve and find the value of x

Answer 1

$let \: \: \frac{4x - 3}{2x + 1} = y \\ then \: the \: equation \: becomes \\ y - \frac{10}{y} = 3 \\ {y}^{2} - 3y - 10 = 0 \\ (y - 5)(y + 2) = 0 \\ y = 5 \: \: or \: \: - 2$

$when \: y = 5 \\ \frac{4x - 3}{2x + 1} = 5 \\ 4x - 3 = 10x + 5 \\ 6x = - 8 \\ x = \frac{ - 4}{3}$

$when \: y = - 2 \\ \frac{4x - 3}{2x + 1} = - 2 \\ 4x - 3 = - 4x - 2 \\ 8x = 1 \\ x = \frac{1}{8}$

Answer 2

Answer:

X =1/8...................