Solve for x
x = \frac{375 \sqrt{2}}{2} \approx 265.165042945
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75\sqrt{50}=2x
Multiply both sides of the equation by 75.
75\times 5\sqrt{2}=2x
Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.
375\sqrt{2}=2x
Multiply 75 and 5 to get 375.
2x=375\sqrt{2}
Swap sides so that all variable terms are on the left hand side.
\frac{2x}{2}=\frac{375\sqrt{2}}{2}
Divide both sides by 2.
x=\frac{375\sqrt{2}}{2}
Dividing by 2 undoes the multiplication by 2.
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