Question 357414
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Hi,
Note:  first lets clear the denominators
 1/2x^2+x-14/3=0
Multiplying thru by 6
3x^2 + 6x -28 = 0
factoring using the quadradic formula
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (-6 +- sqrt(372 ))/(6) }}} 
{{{x = -1 +- sqrt(372 )/(6) }}} 
Calcutor makes short work of finding x
 x = 2.215 
x = -4.215