Question

x.(x-2) = 1 -2 x ????

Answer 1

  (x²+3x)/(x²-1) - (5x)/(x+1) = (x)/(x-1) 
(x²+3x)/[(x+1)(x-1)] - (5x)/(x+1) = (x)/(x-1) 
x²+3x - 5x(x-1) = x(x+1) 
x²+3x-5x²+5x = x²+x 
-5x²+7x = 0 
5x²-7x = 0 
x(5x-7) = 0 
x = 0 ó 5x-7 = 0 
x = 0 ó x = 7/5 

Answer 2

x * (x - 2) = 1 - 2x
x² - 2x = 1 - 2x
x² - 2x + 2x = 1
x² = 1
x = √1
x1 = 1 x2 = -1