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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 2000+0.45P+0.025*P*7.8435+7381.725+(10P+500)*0.55305 = P*7.8435 .
    Question type: Equation
    Solution:Original question:
     2000 +
9
20
 P +
1
40
 P ×
15687
2000
 +
295269
40
 + (10 P + 500) ×
11061
20000
 = P ×
15687
2000
     Left side of the equation = 2000 +
9
20
 P +
15687
80000
 P +
295269
40
 + (10 P + 500) ×
11061
20000
                                             =
375269
40
 +
51687
80000
 P + (10 P + 500) ×
11061
20000
    The equation is transformed into :
     
375269
40
 +
51687
80000
 P + (10 P + 500) ×
11061
20000
 = P ×
15687
2000
    Remove the bracket on the left of the equation:
     Left side of the equation =
375269
40
 +
51687
80000
 P + 10 P ×
11061
20000
 + 500 ×
11061
20000
                                             =
375269
40
 +
51687
80000
 P +
11061
2000
 P +
11061
40
                                             =
38633
4
 +
494127
80000
 P
    The equation is transformed into :
     
38633
4
 +
494127
80000
 P = P ×
15687
2000

    Transposition :
     
494127
80000
 P −
15687
2000
 P = -
38633
4

    Combine the items on the left of the equation:
      -
133353
80000
 P = -
38633
4

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
38633
4
 =
133353
80000
 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 :
     
133353
80000
 P =
38633
4

    The coefficient of the unknown number is reduced to 1 :
      P =
38633
4
 ÷
133353
80000
        =
38633
4
 ×
80000
133353
        = 38633 ×
20000
133353

    We obtained :
      P =
772660000
133353
    This is the solution of the equation.

    Convert the result to decimal form :
      P = 5794.095371



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