Question 647578
{{{8w^2+6w-9=0}}}......replace {{{6w}}} with {{{-6w+12w}}}

{{{8w^2-6w+12w-9=0}}}...group

{{{(8w^2-6w)+(12w-9)=0}}}

{{{2w(4w-3)+3(4w-3)=0}}}

{{{(4w-3)(2w+3)=0}}}

solutions:

if {{{(4w-3)=0}}}....->...{{{4w=3}}}->...{{{w=3/4}}}

if {{{(2w+3)=0}}}....->...{{{2w=-3}}}->...{{{w=-3/2}}}


{{{ graph( 600,600, -10, 10, -12, 10, 8x^2+6x-9) }}}