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\frac{1}{2}\times 2^{\frac{1}{2}}\times 2x=x
Multiply both sides of the equation by 2.
2^{\frac{1}{2}}x=x
Cancel out 2 and 2.
2^{\frac{1}{2}}x-x=0
Subtract x from both sides.
\sqrt{2}x-x=0
Reorder the terms.
\left(\sqrt{2}-1\right)x=0
Combine all terms containing x.
x=0
Divide 0 by \sqrt{2}-1.