Mathematics
         
语言:中文    Language:English
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 25950*(1+x/12*8)+25950*(1+x/12*9)+25950*(1+x/12*10)+25950*(1+x/12*11)+25950*(1+x/12*12) = 50000 .
    Question type: Equation
    Solution:Original question:
     25950(1 + x ÷ 12 × 8) + 25950(1 + x ÷ 12 × 9) + 25950(1 + x ÷ 12 × 10) + 25950(1 + x ÷ 12 × 11) + 25950(1 + x ÷ 12 × 12) = 50000
    Remove the bracket on the left of the equation:
     Left side of the equation = 25950 × 1 + 25950 x ÷ 12 × 8 + 25950(1 + x ÷ 12 × 9) + 25950(1 + x ÷ 12 × 10) + 25950(1 + x ÷ 12 × 11)
                                             = 25950 + 17300 x + 25950(1 + x ÷ 12 × 9) + 25950(1 + x ÷ 12 × 10) + 25950(1 + x ÷ 12 × 11) + 25950(1 + x ÷ 12 × 12)
                                             = 25950 + 17300 x + 25950 × 1 + 25950 x ÷ 12 × 9 + 25950(1 + x ÷ 12 × 10) + 25950
                                             = 25950 + 17300 x + 25950 +
38925
2
x + 25950(1 + x ÷ 12 × 10) + 25950(1 + x ÷ 12 × 11) + 25950(1 + x ÷ 12 × 12)
                                             = 51900 +
73525
2
x + 25950(1 + x ÷ 12 × 10) + 25950(1 + x ÷ 12 × 11) + 25950(1 + x ÷ 12 × 12)
                                             = 51900 +
73525
2
x + 25950 × 1 + 25950 x ÷ 12 × 10 + 25950(1 + x ÷ 12 × 11) + 25950
                                             = 51900 +
73525
2
x + 25950 + 21625 x + 25950(1 + x ÷ 12 × 11) + 25950(1 + x ÷ 12 × 12)
                                             = 77850 +
116775
2
x + 25950(1 + x ÷ 12 × 11) + 25950(1 + x ÷ 12 × 12)
                                             = 77850 +
116775
2
x + 25950 × 1 + 25950 x ÷ 12 × 11 + 25950(1 + x ÷ 12 × 12)
                                             = 77850 +
116775
2
x + 25950 +
47575
2
x + 25950(1 + x ÷ 12 × 12)
                                             = 103800 + 82175 x + 25950(1 + x ÷ 12 × 12)
                                             = 103800 + 82175 x + 25950 × 1 + 25950 x ÷ 12 × 12
                                             = 103800 + 82175 x + 25950 + 25950 x
                                             = 129750 + 108125 x
    The equation is transformed into :
     129750 + 108125 x = 50000

    Transposition :
     108125 x = 50000129750

    Combine the items on the right of the equation:
     108125 x = - 79750

    The coefficient of the unknown number is reduced to 1 :
      x = - 79750 ÷ 108125
        = - 79750 ×
1
108125
        = - 638 ×
1
865

    We obtained :
      x = -
638
865
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.737572



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。