Question

(x/x+1)-(x/x+2)=3/2 solve for x

Answer 1

-0.4385,-4.5615 these are the values of x by doing quadratic equation formula

Answer 2

Hii friend
$x \div (x + 1) - x \div (x + 2) = 3 \div 2 \\ x(x + 2) - x(x + 1) \div (x + 1)(x + 2) = 3 \div 2 \\ {x}^{2} + 2x - {x}^{2} - x \div x(x + 2) + 1(x + 2) = 3 \div 2 \\ x \div {x}^{2} + 2x + x + 2 = 3 \div 2 \\ 3( {x}^{2} + 3x + 2) = 2x \\ 3 {x}^{2} + 9x + 6 = 2x \\ 3 {x}^{2} + 9x - 2x + 6 = 0 \\ 3 {x}^{2} + 7x + 6 \\ 3 {x}^{2} + 9x - 2x + 6 = 0 \\ 3 {x}^{2} + 9x - 2x + 6 \\ 3x(x + 3) +2(x + 3) \\ (x + 3)(3x + 2) \\ x = - 3and - 2 \div 3$
I hp that it may help you