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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 20% = 40%-(1+g)/g×7% .
    Question type: Equation
    Solution:Original question:
     
20
100
=
40
100
(1 + g ) ÷ g ×
7
100
     Multiply both sides of the equation by: g
     
20
100
g =
40
100
g (1 + g ) ×
7
100
    Remove a bracket on the right of the equation::
     
20
100
g =
40
100
g 1 ×
7
100
g ×
7
100
    The equation is reduced to :
     
20
100
g =
40
100
g
7
100
g ×
7
100
    The equation is reduced to :
     
20
100
g =
33
100
g
7
100

    Transposition :
     
20
100
g
33
100
g = -
7
100

    Combine the items on the left of the equation:
      -
13
100
g = -
7
100

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
7
100
=
13
100
g

    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 :
     
13
100
g =
7
100

    The coefficient of the unknown number is reduced to 1 :
      g =
7
100
÷
13
100
        =
7
100
×
100
13
        = 7 ×
1
13

    We obtained :
      g =
7
13
    This is the solution of the equation.

    Convert the result to decimal form :
      g = 0.538462




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