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4\times \frac{6^{2}}{8^{2}}x=0
Calculate 2 to the power of 2 and get 4.
4\times \frac{36}{8^{2}}x=0
Calculate 6 to the power of 2 and get 36.
4\times \frac{36}{64}x=0
Calculate 8 to the power of 2 and get 64.
4\times \frac{9}{16}x=0
Reduce the fraction \frac{36}{64} to lowest terms by extracting and canceling out 4.
\frac{4\times 9}{16}x=0
Express 4\times \frac{9}{16} as a single fraction.
\frac{36}{16}x=0
Multiply 4 and 9 to get 36.
\frac{9}{4}x=0
Reduce the fraction \frac{36}{16} to lowest terms by extracting and canceling out 4.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{9}{4} is not equal to 0, x must be equal to 0.