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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 [(1000*p)+25000]*25% = [1000*p*(1-5%)]-[(1000*50)+25000] .
    Question type: Equation
    Solution:Original question:
     ((1000 p ) + 25000) ×
25
100
= (1000 p (1
5
100
))((1000 × 50) + 25000)
    Remove the bracket on the left of the equation:
     Left side of the equation = (1000 p ) ×
25
100
+ 25000 ×
25
100
                                             = (1000 p ) ×
25
100
+ 6250
                                             = 1000 p ×
25
100
+ 6250
                                             = 250 p + 6250
    The equation is transformed into :
     250 p + 6250 = (1000 p (1
5
100
))((1000 × 50) + 25000)
    Remove the bracket on the right of the equation:
     Right side of the equation = 1000 p (1
5
100
)((1000 × 50) + 25000)
                                               = 1000 p × 11000 p ×
5
100
((1000 × 50) + 25000)
                                               = 1000 p 50 p ((1000 × 50) + 25000)
                                               = 950 p ((1000 × 50) + 25000)
                                               = 950 p (1000 × 50)25000
                                               = 950 p 1000 × 5025000
                                               = 950 p 5000025000
                                               = 950 p 75000
    The equation is transformed into :
     250 p + 6250 = 950 p 75000

    Transposition :
     250 p 950 p = - 750006250

    Combine the items on the left of the equation:
      - 700 p = - 750006250

    Combine the items on the right of the equation:
      - 700 p = - 81250

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     81250 = 700 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 :
     700 p = 81250

    The coefficient of the unknown number is reduced to 1 :
      p = 81250 ÷ 700
        = 81250 ×
1
700
        = 1625 ×
1
14

    We obtained :
      p =
1625
14
    This is the solution of the equation.

    Convert the result to decimal form :
      p = 116.071429



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