Solve for a
a=10\left(\sqrt{3}+2\right)\approx 37.320508076
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-\sqrt{3}a+2a=10
Reorder the terms.
\left(-\sqrt{3}+2\right)a=10
Combine all terms containing a.
\left(2-\sqrt{3}\right)a=10
The equation is in standard form.
\frac{\left(2-\sqrt{3}\right)a}{2-\sqrt{3}}=\frac{10}{2-\sqrt{3}}
Divide both sides by -\sqrt{3}+2.
a=\frac{10}{2-\sqrt{3}}
Dividing by -\sqrt{3}+2 undoes the multiplication by -\sqrt{3}+2.
a=10\sqrt{3}+20
Divide 10 by -\sqrt{3}+2.
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