Solve for x
x=-\frac{3\sqrt{6}}{2}+1\approx -2.674234614
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\frac{-32+48\sqrt{6}}{-32}=x
Factor 13824=48^{2}\times 6. Rewrite the square root of the product \sqrt{48^{2}\times 6} as the product of square roots \sqrt{48^{2}}\sqrt{6}. Take the square root of 48^{2}.
1-\frac{3}{2}\sqrt{6}=x
Divide each term of -32+48\sqrt{6} by -32 to get 1-\frac{3}{2}\sqrt{6}.
x=1-\frac{3}{2}\sqrt{6}
Swap sides so that all variable terms are on the left hand side.
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