Solve for x
x=\frac{5\sqrt{7}}{56}\approx 0.236227796
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2x\times 4\sqrt{7}=5
Factor 112=4^{2}\times 7. Rewrite the square root of the product \sqrt{4^{2}\times 7} as the product of square roots \sqrt{4^{2}}\sqrt{7}. Take the square root of 4^{2}.
8x\sqrt{7}=5
Multiply 2 and 4 to get 8.
8\sqrt{7}x=5
The equation is in standard form.
\frac{8\sqrt{7}x}{8\sqrt{7}}=\frac{5}{8\sqrt{7}}
Divide both sides by 8\sqrt{7}.
x=\frac{5}{8\sqrt{7}}
Dividing by 8\sqrt{7} undoes the multiplication by 8\sqrt{7}.
x=\frac{5\sqrt{7}}{56}
Divide 5 by 8\sqrt{7}.
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