Solve for x
x = \frac{15 {(\sqrt{5} - 1)}}{16} \approx 1.158813729
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\left(1+\sqrt{5}\right)x=\frac{15}{4}
Combine all terms containing x.
\left(\sqrt{5}+1\right)x=\frac{15}{4}
The equation is in standard form.
\frac{\left(\sqrt{5}+1\right)x}{\sqrt{5}+1}=\frac{\frac{15}{4}}{\sqrt{5}+1}
Divide both sides by 1+\sqrt{5}.
x=\frac{\frac{15}{4}}{\sqrt{5}+1}
Dividing by 1+\sqrt{5} undoes the multiplication by 1+\sqrt{5}.
x=\frac{15\sqrt{5}-15}{16}
Divide \frac{15}{4} by 1+\sqrt{5}.
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