0
One easy way to solve this would be to use the quadratic formula, x=(-b+/-sqrt(b^2-4*a*c))/2a. In this case, the formula is x=(-5+/-sqrt(25-4*3*8))/6. In this case, however, the number under the square root is negative, and so the equation has no real solutions.
Improved Answer:-
3x2+5x-8 = 0
(3x+8)(x-1) = 0
x = -8/3 or x = 1
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