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\sqrt{3}x-3-\frac{1}{3}x^{2}=-3
Subtract \frac{1}{3}x^{2} from both sides.
\sqrt{3}x-3-\frac{1}{3}x^{2}+3=0
Add 3 to both sides.
\sqrt{3}x-\frac{1}{3}x^{2}=0
Add -3 and 3 to get 0.
x\left(\sqrt{3}-\frac{1}{3}x\right)=0
Factor out x.
x=0 x=3\sqrt{3}
To find equation solutions, solve x=0 and \sqrt{3}-\frac{x}{3}=0.