( - 3)/(3x - 4) = (x)/(9x + 10) solve the following quadratic equation​

Question

`( - 3)/(3x - 4) = (x)/(9x + 10)`
solve the following quadratic equation​

Answer 1

`x=(-5)/(3)\\x=-6`

Explanation:

`(-3)/(3x-4) =(x)/(9x+10) \\x(3x-4)=-3(9x+10)\\3x^(2)-4x=-27x-30\\ 3x^(2) -4x+27x+30=0\\3x^(2) +23x+30=0\\(3x+5)(x+6)=0\\3x+5=03x=-5\\x=(-5)/(3)\\ x+6=0\\x=-6`

then the solution of the quadratic is {-5/3 , -6}