Solve for m
m\in \mathrm{R}
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m\times 2\sqrt{3}=2m\sqrt{3}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
m\times 2\sqrt{3}-2m\sqrt{3}=0
Subtract 2m\sqrt{3} from both sides.
0=0
Combine m\times 2\sqrt{3} and -2m\sqrt{3} to get 0.
\text{true}
Compare 0 and 0.
m\in \mathrm{R}
This is true for any m.
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