Question 639823
{{{(2x^3 + 5x ^2 - 7x)/(3x^2 +   7x  +  4)>0}}}

Factorize x out in the numerator


{{{x(2x^2 + 5x - 7)/(3x^2 +   7x  +  4)>0}}}

Factorize numerator and denominator


{{{(x(2x^2+7x-2x-7))/(3x^2+3x+4x+4)>0}}}


{{{(x(x(2x+7)-1(2x+7)))/(3x(x+1)+4(x+1))>0}}}

{{{(x(2x+7)(x-1))/(3x((x+1)(3x+4)))>0}}}

{{{(x-1)(2x+7)/((x+1)(3x+4))>0}}}

Proceed