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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 P*13727.94+(1-P)*21617.12 = 0.673*19874.09+0.327*23855.71 .
    Question type: Equation
    Solution:Original question:
      P ×
686397
50
 + (1 − P ) ×
540428
25
 =
673
1000
 ×
1987409
100
 +
327
1000
 ×
2385571
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
686397
50
 P + 1 ×
540428
25
 − P ×
540428
25
                                             =
686397
50
 P +
540428
25
 − P ×
540428
25
                                             = -
394459
50
 P +
540428
25
    The equation is transformed into :
      -
394459
50
 P +
540428
25
 =
673
1000
 ×
1987409
100
 +
327
1000
 ×
2385571
100
     Right side of the equation =
1337526257
100000
 +
780081717
100000
                                               =
1058803987
50000
    The equation is transformed into :
      -
394459
50
 P +
540428
25
 =
1058803987
50000

    Transposition :
      -
394459
50
 P =
1058803987
50000
 −
540428
25

    Combine the items on the right of the equation:
      -
394459
50
 P = -
22052013
50000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
22052013
50000
 =
394459
50
 P

    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 :
     
394459
50
 P =
22052013
50000

    The coefficient of the unknown number is reduced to 1 :
      P =
22052013
50000
 ÷
394459
50
        =
22052013
50000
 ×
50
394459
        =
22052013
1000
 ×
1
394459

    We obtained :
      P =
22052013
394459000
    This is the solution of the equation.

    Convert the result to decimal form :
      P = 0.055904



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