solve for x

[4x-3/2x+1] - 10[2x+1/4x-3] = 3

Share with your friends

Share 11

Question

solve for x
[4x-3/2x+1] - 10[2x+1/4x-3] = 3

Jyoti Pant · Accepted Answer

$\frac{4 x âˆ’ 3}{2 x + 1} âˆ’ 10 \frac{2 x + 1}{4 x âˆ’ 3} = 3 L e t â¢ â€‰ â€‰ â€‰ y = \frac{4 x âˆ’ 3}{2 x + 1} âˆ´ y âˆ’ \frac{10}{y} = 3 â‡’ \frac{y^{2} âˆ’ 10}{y} = 3 â‡’ y^{2} âˆ’ 3 y âˆ’ 10 = 0 â‡’ (y âˆ’ 5) (y + 2) = 0 â‡’ y = 5 â¢ â€‰ â€‰ â€‰ o r â¢ â€‰ â€‰ y = âˆ’ 2 âˆ´ \frac{4 x âˆ’ 3}{2 x + 1} = 5 â¢ â€‰ â€‰ â€‰ â€‰ â€‰ o r â¢ â€‰ â€‰ â€‰ â€‰ \frac{4 x âˆ’ 3}{2 x + 1} = âˆ’ 2 â‡’ 4 x âˆ’ 3 = 10 x + 5 â¢ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ o r â¢ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ 4 x âˆ’ 3 = âˆ’ 4 x âˆ’ 2 â‡’ x = \frac{âˆ’ 4}{3} â¢ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ o r â¢ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ x = \frac{1}{8}$

solve for x [4x-3/2x+1] - 10[2x+1/4x-3] = 3

solve for x

[4x-3/2x+1] - 10[2x+1/4x-3] = 3