Solve for x
x=\frac{-\sqrt{5}-5}{2}\approx -3.618033989
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x\sqrt{5}-x=-2\sqrt{5}
Subtract x from both sides.
\left(\sqrt{5}-1\right)x=-2\sqrt{5}
Combine all terms containing x.
\frac{\left(\sqrt{5}-1\right)x}{\sqrt{5}-1}=-\frac{2\sqrt{5}}{\sqrt{5}-1}
Divide both sides by \sqrt{5}-1.
x=-\frac{2\sqrt{5}}{\sqrt{5}-1}
Dividing by \sqrt{5}-1 undoes the multiplication by \sqrt{5}-1.
x=\frac{-\sqrt{5}-5}{2}
Divide -2\sqrt{5} by \sqrt{5}-1.
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