Solve for x
x=\frac{2}{3}\approx 0.666666667
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3\sqrt{2}x-\sqrt{8}=0
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
3\sqrt{2}x-2\sqrt{2}=0
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
3\sqrt{2}x=2\sqrt{2}
Add 2\sqrt{2} to both sides. Anything plus zero gives itself.
\frac{3\sqrt{2}x}{3\sqrt{2}}=\frac{2\sqrt{2}}{3\sqrt{2}}
Divide both sides by 3\sqrt{2}.
x=\frac{2\sqrt{2}}{3\sqrt{2}}
Dividing by 3\sqrt{2} undoes the multiplication by 3\sqrt{2}.
x=\frac{2}{3}
Divide 2\sqrt{2} by 3\sqrt{2}.
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