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x-646.8=\frac{1}{2}\times 5^{2}
Multiply 66 and 9.8 to get 646.8.
x-646.8=\frac{1}{2}\times 25
Calculate 5 to the power of 2 and get 25.
x-646.8=\frac{25}{2}
Multiply \frac{1}{2} and 25 to get \frac{25}{2}.
x=\frac{25}{2}+646.8
Add 646.8 to both sides.
x=\frac{25}{2}+\frac{3234}{5}
Convert decimal number 646.8 to fraction \frac{6468}{10}. Reduce the fraction \frac{6468}{10} to lowest terms by extracting and canceling out 2.
x=\frac{125}{10}+\frac{6468}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{25}{2} and \frac{3234}{5} to fractions with denominator 10.
x=\frac{125+6468}{10}
Since \frac{125}{10} and \frac{6468}{10} have the same denominator, add them by adding their numerators.
x=\frac{6593}{10}
Add 125 and 6468 to get 6593.