Solve for x
x=3
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x\sqrt{5}=3\sqrt{5}
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
\sqrt{5}x=3\sqrt{5}
The equation is in standard form.
\frac{\sqrt{5}x}{\sqrt{5}}=\frac{3\sqrt{5}}{\sqrt{5}}
Divide both sides by \sqrt{5}.
x=\frac{3\sqrt{5}}{\sqrt{5}}
Dividing by \sqrt{5} undoes the multiplication by \sqrt{5}.
x=3
Divide 3\sqrt{5} by \sqrt{5}.
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