A mathematical problem about fraction If the fractional equation 2 (x + a) / a (x-1) = - 8 / 5 has no solution, then a=____ . the whole process of solving the problem

A mathematical problem about fraction If the fractional equation 2 (x + a) / a (x-1) = - 8 / 5 has no solution, then a=____ . the whole process of solving the problem

The fractional equation has no solution as long as the denominator is 0
(1) When a = 0, the equation obviously has no solution;
(2) X-1 = 0 is x = 1 because there is no solution and the original equation is reduced to
5（x+a）=-4a（x-1）
To make the equation have no solution, as long as x = 1, that is, a = - 1

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