Hello from MrBillDoesMath!
Answer:
(1/8) ( 7 + sqrt(481) )
(1/8) ( 7 - sqrt(481) )
Discussion:
The equation is equivalent to 4x^2 - 7x -27 = 0 (as 3 + 24 = 0), Using the quadratic formula:
x = ( - (-7) +\- sqrt ((-7)^2- 4*4*(-27)) )/ (2*4)
= (1/8) ( 7 +\- sqrt(49+ 432) ) =
= (1/8) ( 7 +\- sqrt(481))
Regards,
MrB