Solve for x
x=168
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6\sqrt{42}=3\sqrt{x}
Factor 1512=6^{2}\times 42. Rewrite the square root of the product \sqrt{6^{2}\times 42} as the product of square roots \sqrt{6^{2}}\sqrt{42}. Take the square root of 6^{2}.
3\sqrt{x}=6\sqrt{42}
Swap sides so that all variable terms are on the left hand side.
\frac{3\sqrt{x}}{3}=\frac{6\sqrt{42}}{3}
Divide both sides by 3.
\sqrt{x}=\frac{6\sqrt{42}}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{x}=2\sqrt{42}
Divide 6\sqrt{42} by 3.
x=168
Square both sides of the equation.
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