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0.18\times 2=500x\times 4\pi \times 10^{-7}\times 0.2
Multiply both sides by 2.
0.36=500x\times 4\pi \times 10^{-7}\times 0.2
Multiply 0.18 and 2 to get 0.36.
0.36=2000x\pi \times 10^{-7}\times 0.2
Multiply 500 and 4 to get 2000.
0.36=2000x\pi \times \frac{1}{10000000}\times 0.2
Calculate 10 to the power of -7 and get \frac{1}{10000000}.
0.36=\frac{1}{5000}x\pi \times 0.2
Multiply 2000 and \frac{1}{10000000} to get \frac{1}{5000}.
0.36=\frac{1}{25000}x\pi
Multiply \frac{1}{5000} and 0.2 to get \frac{1}{25000}.
\frac{1}{25000}x\pi =0.36
Swap sides so that all variable terms are on the left hand side.
\frac{\pi }{25000}x=0.36
The equation is in standard form.
\frac{25000\times \frac{\pi }{25000}x}{\pi }=\frac{0.36\times 25000}{\pi }
Divide both sides by \frac{1}{25000}\pi .
x=\frac{0.36\times 25000}{\pi }
Dividing by \frac{1}{25000}\pi undoes the multiplication by \frac{1}{25000}\pi .
x=\frac{9000}{\pi }
Divide 0.36 by \frac{1}{25000}\pi .