Solve for x
x=3
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3\sqrt{17}=x\sqrt{17}
Factor 153=3^{2}\times 17. Rewrite the square root of the product \sqrt{3^{2}\times 17} as the product of square roots \sqrt{3^{2}}\sqrt{17}. Take the square root of 3^{2}.
x\sqrt{17}=3\sqrt{17}
Swap sides so that all variable terms are on the left hand side.
\sqrt{17}x=3\sqrt{17}
The equation is in standard form.
\frac{\sqrt{17}x}{\sqrt{17}}=\frac{3\sqrt{17}}{\sqrt{17}}
Divide both sides by \sqrt{17}.
x=\frac{3\sqrt{17}}{\sqrt{17}}
Dividing by \sqrt{17} undoes the multiplication by \sqrt{17}.
x=3
Divide 3\sqrt{17} by \sqrt{17}.
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