Question 433492
{{{ 12b^2= 27 + 27b}}}

{{{ 12b^2 - 27b -27=0}}}......both sides divide by {{{3}}}

{{{ 12b^2/3 - 27b/3 -27/3=0/3}}}

{{{ 4b^2 - 9b -9=0}}}.....use quadratic formula

{{{b= (-(-9) +- sqrt( (-9)^2-4*4*(-9)))/(2*4) }}}

{{{b= (9 +- sqrt(81- (-144)))/8 }}}

{{{b= (9 +- sqrt(81+144))/8 }}}

{{{b= (9 +- sqrt(225))/8 }}}

{{{b= (9 +- 15)/8 }}}


{{{b= (9 +15)/8 }}}


{{{b= 24/8 }}}

{{{b= 3}}}.....one root


{{{b= (9 -15)/8 }}}


{{{b= -6/8 }}}

{{{b= -0.75}}}.....other root




{{{ graph( 600, 600, -15, 15, -45, 45, 12x^2-27x-27) }}}