Question 256533
We are given:
{{{12x^2-23x=24}}}
step 1 - subtract 24 to get
{{{12x^2-23x-24=0}}}
step 2 - use the quadratic to get
{{{x = (23 +- sqrt( 529-4*12*(-24) ))/(24) }}}
then
{{{x = (23 +- sqrt( 1681))/(24) }}}
and then
{{{x = (23 +- 41)/(24) }}}
So, 
x = 18/24 = -3/4
or
x = 64/24 = 8/3