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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 (1.165-x)*(40-33.3) = (x-1.128)*3.30 .
    Question type: Equation
    Solution:Original question:
     (
233
200
 − x )(40 −
333
10
) = ( x −
141
125
) ×
33
10
    Remove the bracket on the left of the equation:
     Left side of the equation =
233
200
(40 −
333
10
) − x (40 −
333
10
)
                                             =
233
200
 × 40 −
233
200
 ×
333
10
 − x (40 −
333
10
)
                                             =
233
5
 −
77589
2000
 − x (40 −
333
10
)
                                             =
15611
2000
 − x (40 −
333
10
)
                                             =
15611
2000
 − x × 40 + x ×
333
10
                                             =
15611
2000
 −
67
10
 x
    The equation is transformed into :
     
15611
2000
 −
67
10
 x = ( x −
141
125
) ×
33
10
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
33
10
 −
141
125
 ×
33
10
                                               = x ×
33
10
 −
4653
1250
    The equation is transformed into :
     
15611
2000
 −
67
10
 x =
33
10
 x −
4653
1250

    Transposition :
      -
67
10
 x −
33
10
 x = -
4653
1250
 −
15611
2000

    Combine the items on the left of the equation:
      - 10 x = -
4653
1250
 −
15611
2000

    Combine the items on the right of the equation:
      - 10 x = -
115279
10000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
115279
10000
 = 10 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 :
     10 x =
115279
10000

    The coefficient of the unknown number is reduced to 1 :
      x =
115279
10000
 ÷ 10
        =
115279
10000
 ×
1
10

    We obtained :
      x =
115279
100000
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.15279



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