Solve for x
x = \frac{8153}{430} = 18\frac{413}{430} \approx 18.960465116
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Linear Equation
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411 \pi = \pi \times 12.9 \times x+ \pi \times { 12.9 }^{ 2 }
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411\pi =\pi \times 12.9x+\pi \times 166.41
Calculate 12.9 to the power of 2 and get 166.41.
\pi \times 12.9x+\pi \times 166.41=411\pi
Swap sides so that all variable terms are on the left hand side.
\pi \times 12.9x=411\pi -\pi \times 166.41
Subtract \pi \times 166.41 from both sides.
\pi \times 12.9x=244.59\pi
Combine 411\pi and -\pi \times 166.41 to get 244.59\pi .
12.9x=244.59
Cancel out \pi on both sides.
x=\frac{244.59}{12.9}
Divide both sides by 12.9.
x=\frac{24459}{1290}
Expand \frac{244.59}{12.9} by multiplying both numerator and the denominator by 100.
x=\frac{8153}{430}
Reduce the fraction \frac{24459}{1290} to lowest terms by extracting and canceling out 3.
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