2/3x^2 + x = 1/2 multiply everthing by 6 to get rid of the denominators
4x^2 +6x = 3
4x^2 + 6x - 3 = 0 use quadratic equation
a = 4, b = 6, c = -3
[-b +or- sqrt(b^2 - 4ac)]/2a
[-6 +or- sqrt(6^2 - 4*4*(-3)]/2*4
[-6 +or- sqrt(36 + 48)]/8
[-6 +or- sqrt(84)]/8
[-6 +or- 2*sqrt(21)]/8
[-3 +or- sqrt(21)]/ 4 reduce by 2