Solve for x
x=\frac{\sqrt{7}}{49}\approx 0.053994925
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x\times 49\sqrt{7}=7
Factor 16807=49^{2}\times 7. Rewrite the square root of the product \sqrt{49^{2}\times 7} as the product of square roots \sqrt{49^{2}}\sqrt{7}. Take the square root of 49^{2}.
49\sqrt{7}x=7
The equation is in standard form.
\frac{49\sqrt{7}x}{49\sqrt{7}}=\frac{7}{49\sqrt{7}}
Divide both sides by 49\sqrt{7}.
x=\frac{7}{49\sqrt{7}}
Dividing by 49\sqrt{7} undoes the multiplication by 49\sqrt{7}.
x=\frac{\sqrt{7}}{49}
Divide 7 by 49\sqrt{7}.
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