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Solve for x_20
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2059=x_{20}\times 0.5-4.9\times 20.5^{2}
Multiply 0.5 and 9.8 to get 4.9.
2059=x_{20}\times 0.5-4.9\times 420.25
Calculate 20.5 to the power of 2 and get 420.25.
2059=x_{20}\times 0.5-2059.225
Multiply 4.9 and 420.25 to get 2059.225.
x_{20}\times 0.5-2059.225=2059
Swap sides so that all variable terms are on the left hand side.
x_{20}\times 0.5=2059+2059.225
Add 2059.225 to both sides.
x_{20}\times 0.5=4118.225
Add 2059 and 2059.225 to get 4118.225.
x_{20}=\frac{4118.225}{0.5}
Divide both sides by 0.5.
x_{20}=\frac{4118225}{500}
Expand \frac{4118.225}{0.5} by multiplying both numerator and the denominator by 1000.
x_{20}=\frac{164729}{20}
Reduce the fraction \frac{4118225}{500} to lowest terms by extracting and canceling out 25.