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This is only half of an equation. If -x^2 + 3x +2y = 0, then x^2 -3x = 2y and y = (x^2-3x)/2 Solving for x is the inverse, but difficult without a second equation.
Since the equation is in terms of x, you need to switch the x's and y's, and then solve it for y again. y=3x^3 --> x=3y^3 --> y=(x/3)^(1/3)
If you mean: 3x-y = 1 then it is a straight line equation