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0.058\times 0.347\left(1-x\right)=\left(2\times 0.347\right)^{2}
Multiply both sides of the equation by 10.
0.020126\left(1-x\right)=\left(2\times 0.347\right)^{2}
Multiply 0.058 and 0.347 to get 0.020126.
0.020126-0.020126x=\left(2\times 0.347\right)^{2}
Use the distributive property to multiply 0.020126 by 1-x.
0.020126-0.020126x=0.694^{2}
Multiply 2 and 0.347 to get 0.694.
0.020126-0.020126x=0.481636
Calculate 0.694 to the power of 2 and get 0.481636.
-0.020126x=0.481636-0.020126
Subtract 0.020126 from both sides.
-0.020126x=0.46151
Subtract 0.020126 from 0.481636 to get 0.46151.
x=\frac{0.46151}{-0.020126}
Divide both sides by -0.020126.
x=\frac{461510}{-20126}
Expand \frac{0.46151}{-0.020126} by multiplying both numerator and the denominator by 1000000.
x=-\frac{665}{29}
Reduce the fraction \frac{461510}{-20126} to lowest terms by extracting and canceling out 694.