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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 7.92×(c+3.2) = 12.18c .
    Question type: Equation
    Solution:Original question:
     
198
25
( c +
16
5
) =
609
50
c
    Remove the bracket on the left of the equation:
     Left side of the equation =
198
25
c +
198
25
×
16
5
                                             =
198
25
c +
3168
125
    The equation is transformed into :
     
198
25
c +
3168
125
=
609
50
c

    Transposition :
     
198
25
c
609
50
c = -
3168
125

    Combine the items on the left of the equation:
      -
213
50
c = -
3168
125

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
3168
125
=
213
50
c

    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 :
     
213
50
c =
3168
125

    The coefficient of the unknown number is reduced to 1 :
      c =
3168
125
÷
213
50
        =
3168
125
×
50
213
        =
1056
5
×
2
71

    We obtained :
      c =
2112
355
    This is the solution of the equation.

    Convert the result to decimal form :
      c = 5.949296



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