Solve This Equation x/(x-1)+x=(4x-3)/(x-1)
multiply by (x-1)
x + x(x-1) = 4x - 3
x + x^2 - x = 4x - 3
x^2 - 4x + 3 = 0
(x-1)(x-3)= 0
x = 1 or x = 3
BUT, x=1 would make the denominator zero and we can't divide by zero, so
x = 3
x + x(x-1) = 4x - 3
x + x^2 - x = 4x - 3
x^2 - 4x + 3 = 0
(x-1)(x-3)= 0
x = 1 or x = 3
BUT, x=1 would make the denominator zero and we can't divide by zero, so
x = 3