Solve for x
x=\frac{\sqrt{3}-1}{2}\approx 0.366025404
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x+x\sqrt{3}=1
Add 1 to both sides. Anything plus zero gives itself.
\left(1+\sqrt{3}\right)x=1
Combine all terms containing x.
\left(\sqrt{3}+1\right)x=1
The equation is in standard form.
\frac{\left(\sqrt{3}+1\right)x}{\sqrt{3}+1}=\frac{1}{\sqrt{3}+1}
Divide both sides by 1+\sqrt{3}.
x=\frac{1}{\sqrt{3}+1}
Dividing by 1+\sqrt{3} undoes the multiplication by 1+\sqrt{3}.
x=\frac{\sqrt{3}-1}{2}
Divide 1 by 1+\sqrt{3}.
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