Question

(x(x+1))/(x-5)=x(x+9)

Answer 1

$\frac{x(x+1)}{x-5}=x(x+9)\\\\\frac{x^{2}+x}{x-5}=x^{2}+9x\\\\x^{2}+x=(x^{2}+9x)(x-5)\\\\x^{2}+x=x^{3}-5x^{2}+9x^{2}-45\\\\x^{2}+x=x^{3}+4x^{2}-45\\\\x=x^{3}+3x^{2}-45\\\\0=x^{3}+3x^{2}-x-45\\\\x^{3}+3x^{2}-x-45=0$