\(\left(x+1\right)\left(2y-5\right)=145\)
\(\Leftrightarrow\left(x+1;2y-5\right)\in\left\{\left(1;145\right);\left(145;1\right);\left(-1;-145\right);\left(-145;-1\right);\left(5;29\right);\left(29;5\right);\left(-5;-29\right);\left(-29;-5\right)\right\}\)
\(\Leftrightarrow\left(x,y\right)\in\left\{\left(0;75\right);\left(144;3\right);\left(-2;-70\right);\left(-146;2\right);\left(28;5\right);\left(-6;-12\right);\left(-30;0\right)\right\}\)