Question

Solve : $(\frac{1200}{x}+2)(x-10)-1200=60$

Answer 1

$(\frac{1200}{x}+2)(x-10)-1200=60$

$\left(\frac{1200+2x}{x}\right)(x-10)=60+1200$

$(1200+2x)(x-10)=1260x$

$2(600+x)(x-10)=1260x$

$(600+x)(x-10)=630x$

$600x-6000+x^2-10x=630x$

$x^2-10x-30x-6000=0$

$x^2-40x-6000=0$

$x^2-100x+60x-6000=0$

$x(x-100)+60(x-100)=0$

$(x+60)(x-100)=0$

$x=-60orx=100$