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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 1.15×1447×（1+x/（x+1200）） = 33.10×769 .
    Question type: Equation
    Solution:Original question:
     
23
20
 × 1447(1 + x ÷ ( x + 1200)) =
331
10
 × 769
    Remove a bracket on the left of the equation:：
     
23
20
 × 1447 × 1 +
23
20
 × 1447 x ÷ ( x + 1200) =
331
10
 × 769
    The equation is reduced to :
     
33281
20
 +
33281
20
 x ÷ ( x + 1200) =
254539
10
     Multiply both sides of the equation by:( x + 1200)
     
33281
20
( x + 1200) +
33281
20
 x =
254539
10
( x + 1200)
    Remove a bracket on the left of the equation:
     
33281
20
 x +
33281
20
 × 1200 +
33281
20
 x =
254539
10
( x + 1200)
    Remove a bracket on the right of the equation:：
     
33281
20
 x +
33281
20
 × 1200 +
33281
20
 x =
254539
10
 x +
254539
10
 × 1200
    The equation is reduced to :
     
33281
20
 x + 1996860 +
33281
20
 x =
254539
10
 x + 30544680
    The equation is reduced to :
     
33281
10
 x + 1996860 =
254539
10
 x + 30544680

    Transposition :
     
33281
10
 x −
254539
10
 x = 30544680 − 1996860

    Combine the items on the left of the equation:
      -
110629
5
 x = 30544680 − 1996860

    Combine the items on the right of the equation:
      -
110629
5
 x = 28547820

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 28547820 =
110629
5
 x

    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 :
     
110629
5
 x = - 28547820

    The coefficient of the unknown number is reduced to 1 :
      x = - 28547820 ÷
110629
5
        = - 28547820 ×
5
110629

    We obtained :
      x = -
142739100
110629
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 1290.250296



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