(2х-3)/(4х+7) = (6х-4)/(12+3х)
ОДЗ:
4x + 7 != 0
12 + 3x != 0
x != -7\4
x! = -4
(2х-3)*(12+3х) = 24x + 6x^2 -36 - 9x = 6x^2 +15x - 36
(6х-4)*(4х+7) = 24x^2 + 42x - 16x - 28 = 24x^2 + 26x - 28
6x^2 +15x - 36 = 24x^2 + 26x - 28
18x^2 + 11x + 8 = 0
D = 121 - 4*18*8 = 121 - 576 < 0 - нет вещественных корней