Question 729183
{{{4(x+9)^2=24 }}} divide both sides by 4
{{{(x+9)^2=6}}}

{{{x^2+18x+81=6}}} subract 6 from each side of the equal side
{{{x^2+18x+75=0}}}
 now you can use the quadratic formula to solve for x
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (-18 +- sqrt( 18^2-4*1*75 ))/(2*1) }}}
{{{x = (-18 +- sqrt( 324-300 ))/(2) }}}
{{{x = (-18 +- sqrt( 24 ))/(2) }}} simplify sqrt(24)
{{{x = (-18 +- 2sqrt( 6 ))/(2) }}} divide everything by 2
{{{x = (-9 +- sqrt( 6 )) }}}