3x+6xy-4y=5
=>\(3x\left(2y+1\right)-4y-2=3\)
=>\(3x\left(2y+1\right)-2\left(2y+1\right)=3\)
=>\(\left(3x-2\right)\left(2y+1\right)=3\)
=>\(\left(3x-2;2y+1\right)\in\left\{\left(1;3\right);\left(3;1\right);\left(-1;-3\right);\left(-3;-1\right)\right\}\)
=>\(\left(3x;2y\right)\in\left\{\left(3;2\right);\left(5;0\right);\left(1;-4\right);\left(-1;-2\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(1;1\right);\left(\dfrac{5}{3};0\right);\left(\dfrac{1}{3};-2\right);\left(-\dfrac{1}{3};-1\right)\right\}\)
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