Question

Find the separate equation of the lines represented by the following equation:
$10(x+1{)}^2+(x+1\left)\right(y-2)-3(y-2{)}^2=0$

Answer 1

$10(x+1{)}^2+(x+1\left)\right(y-2)-3(y-2{)}^2=0$

$10(x+1{)}^2+6(x+1\left)\right(y-2)-5(x-1\left)\right(y-2)-3(y)$

$2(2x+1)\left[5\right(x+1)+3(y-2\left)\right]-(y-2)[5x-5-3y]$

$(2x+2-y+2)(5x-3y+1)=0$

$(2x-y+4)(5x-3y+1)=0$