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Yes.

3X - 2 = -3X^2

add 3X^2 to each side to get in standard form

3X^2 + 3X -2 = 0

Use quadratic equation to solve for X

X = -b +/- sqrt(b^2-4ac)/2a

a = 3

b = 3

c = -2

X = -3 +/- sqrt[( 3^2 - 4(3)(-2)]/2(3)

X = [-3 +/- sqrt(33)]/6

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