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current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (169834-x)/169834 = 0.1172 .
    Question type: Equation
    Solution:Original question:
     (169834 x ) ÷ 169834 =
293
2500
    Remove the bracket on the left of the equation:
     Left side of the equation = 169834 ×
1
169834
x ×
1
169834
                                             =
1733
1733
x ×
1
169834
    The equation is transformed into :
     
1733
1733
1
169834
x =
293
2500

    Transposition :
      -
1
169834
x =
293
2500
1733
1733

    Combine the items on the right of the equation:
      -
1
169834
x = -
2207
2500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
2207
2500
=
1
169834
x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
1
169834
x =
2207
2500

    The coefficient of the unknown number is reduced to 1 :
      x =
2207
2500
÷
1
169834
        =
2207
2500
× 169834
        =
2207
1250
× 84917

    We obtained :
      x =
187411819
1250
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 149929.4552




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