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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 (75.21+x)/(74.54+x)-1 = 1.35% .
    Question type: Equation
    Solution:Original question:
     (
7521
100
 + x ) ÷ (
3727
50
 + x ) − 1 =
27
2000
     Multiply both sides of the equation by:(
3727
50
 + x )
     (
7521
100
 + x ) − 1(
3727
50
 + x ) =
27
2000
(
3727
50
 + x )
    Remove a bracket on the left of the equation:：
     
7521
100
 + x − 1(
3727
50
 + x ) =
27
2000
(
3727
50
 + x )
    Remove a bracket on the right of the equation:：
     
7521
100
 + x − 1(
3727
50
 + x ) =
27
2000
 ×
3727
50
 +
27
2000
 x
    The equation is reduced to :
     
7521
100
 + x − 1(
3727
50
 + x ) =
100629
100000
 +
27
2000
 x
    Remove a bracket on the left of the equation:
     
7521
100
 + x − 1 ×
3727
50
 − 1 x =
100629
100000
 +
27
2000
 x
    The equation is reduced to :
     
7521
100
 + x −
3727
50
 − 1 x =
100629
100000
 +
27
2000
 x
    The equation is reduced to :
     
67
100
 + 0 x =
100629
100000
 +
27
2000
 x

    Transposition :
      -
27
2000
 x =
100629
100000
 −
67
100

    Combine the items on the right of the equation:
      -
27
2000
 x =
33629
100000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
33629
100000
 =
27
2000
 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 :
     
27
2000
 x = -
33629
100000

    The coefficient of the unknown number is reduced to 1 :
      x = -
33629
100000
 ÷
27
2000
        = -
33629
100000
 ×
2000
27
        = -
33629
50
 ×
1
27

    We obtained :
      x = -
33629
1350
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 24.91037



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