◆ QUADRATIC EQUATIONS ◆
[tex]given \: expression \: is \: , \:  \\  \\   {x}^{2}  - 2x - 15 = 0 \\  \\  =  {x}^{2}  + 3x - 5x - 15 = 0 \\  \\  = x(x + 3) - 5(x + 3) = 0 \\  \\  = (x - 5)(x + 3) = 0 \\  \\ therefore \: , \\  \\ (x - 5) = 0 \: or \: (x + 3) = 0 \\  \\ solving \: , \: we \: get \: , \\  \\ x = 5 \: or \: x =  - 3 \:  \:  \:  \:  \: ans.[/tex]