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2=x\times 0.125+4.9\times 0.125^{2}
Multiply 0.5 and 9.8 to get 4.9.
2=x\times 0.125+4.9\times 0.015625
Calculate 0.125 to the power of 2 and get 0.015625.
2=x\times 0.125+0.0765625
Multiply 4.9 and 0.015625 to get 0.0765625.
x\times 0.125+0.0765625=2
Swap sides so that all variable terms are on the left hand side.
x\times 0.125=2-0.0765625
Subtract 0.0765625 from both sides.
x\times 0.125=1.9234375
Subtract 0.0765625 from 2 to get 1.9234375.
x=\frac{1.9234375}{0.125}
Divide both sides by 0.125.
x=\frac{19234375}{1250000}
Expand \frac{1.9234375}{0.125} by multiplying both numerator and the denominator by 10000000.
x=\frac{1231}{80}
Reduce the fraction \frac{19234375}{1250000} to lowest terms by extracting and canceling out 15625.