Question 1113493
{{{6x^5 + 43x^4 + 37x^3 -30x^2 = 0 }}}....factor

{{{x^2 (6x^3 + 43x^2 + 37x- 30)= 0 }}}

{{{x^2  (6 x^3+36x^2+ 7x^2+42x -5x-30) = 0}}}

{{{x^2  ((6 x^3+36x^2)+( 7x^2+42x) - (5x+30)) = 0}}}

{{{x^2 (x + 6) (6 x^2 + 7 x - 5) = 0}}}

{{{x^2 (x + 6) (6 x^2 -3x+ 10x - 5) = 0}}}

{{{x^2 (x + 6) ((6 x^2 -3x)+ (10x - 5)) = 0}}}

{{{x^2 (x + 6) (3x(2x -1)+ 5(2x - 1)) = 0}}}

{{{x^2 (x + 6) (2x - 1) (3x + 5) = 0}}}



if {{{x^2  = 0}}}=>{{{x=0}}}
if {{{ (x + 6)  = 0}}} => {{{x=-6}}}
if {{{ (2x - 1)  = 0}}}=> {{{x=1/2}}}
if {{{ (3x + 5) = 0}}}=> {{{x=-5/3}}}

so, solutions are:{{{x=-6}}},{{{x=-5/3}}},{{{x=0}}},{{{x=1/2}}}