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2AB=3\sqrt{3}
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2BA=3\sqrt{3}
The equation is in standard form.
\frac{2BA}{2B}=\frac{3\sqrt{3}}{2B}
Divide both sides by 2B.
A=\frac{3\sqrt{3}}{2B}
Dividing by 2B undoes the multiplication by 2B.
2AB=3\sqrt{3}
Multiply both sides of the equation by 6, the least common multiple of 3,2.
\frac{2AB}{2A}=\frac{3\sqrt{3}}{2A}
Divide both sides by 2A.
B=\frac{3\sqrt{3}}{2A}
Dividing by 2A undoes the multiplication by 2A.