Solve for x
x=-\frac{\sqrt{6}}{6}\approx -0.40824829
x=0
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x\left(3\sqrt{2}x+\sqrt{3}\right)=0
Factor out x.
x=0 x=-\frac{\sqrt{3}}{3\sqrt{2}}
To find equation solutions, solve x=0 and 3\sqrt{2}x+\sqrt{3}=0.
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