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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 （x-200）*（1-25%）/3000+300 = （x-200-1500*10%）*（1-25%） .
    Question type: Equation
    Solution:Original question:
     ( x − 200)(1 −
25
100
) ÷ 3000 + 300 = ( x − 200 − 1500 ×
10
100
)(1 −
25
100
)
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1 −
25
100
) ×
1
3000
 − 200(1 −
25
100
) ×
1
3000
 + 300
                                             = x (1 −
25
100
) ×
1
3000
 −
1
15
(1 −
25
100
) + 300
                                             = x × 1 ×
1
3000
 − x ×
25
100
 ×
1
3000
 −
1
15
(1 −
25
100
) + 300
                                             = x ×
1
3000
 − x ×
1
12000
 −
1
15
(1 −
25
100
) + 300
                                             =
1
4000
 x −
1
15
(1 −
25
100
) + 300
                                             =
1
4000
 x −
1
15
 × 1 +
1
15
 ×
25
100
 + 300
                                             =
1
4000
 x −
1
15
 +
1
60
 + 300
                                             =
1
4000
 x +
5999
20
    The equation is transformed into :
     
1
4000
 x +
5999
20
 = ( x − 200 − 1500 ×
10
100
)(1 −
25
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation = x (1 −
25
100
) − 200(1 −
25
100
) − 1500 ×
10
100
(1 −
25
100
)
                                               = x (1 −
25
100
) − 200(1 −
25
100
) − 150(1 −
25
100
)
                                               = x × 1 − x ×
25
100
 − 200(1 −
25
100
) − 150(1 −
25
100
)
                                               =
3
4
 x − 200(1 −
25
100
) − 150(1 −
25
100
)
                                               =
3
4
 x − 200 × 1 + 200 ×
25
100
 − 150(1 −
25
100
)
                                               =
3
4
 x − 200 + 50 − 150(1 −
25
100
)
                                               =
3
4
 x − 150 − 150(1 −
25
100
)
                                               =
3
4
 x − 150 − 150 × 1 + 150 ×
25
100
                                               =
3
4
 x − 150 − 150 +
75
2
                                               =
3
4
 x −
525
2
    The equation is transformed into :
     
1
4000
 x +
5999
20
 =
3
4
 x −
525
2

    Transposition :
     
1
4000
 x −
3
4
 x = -
525
2
 −
5999
20

    Combine the items on the left of the equation:
      -
2999
4000
 x = -
525
2
 −
5999
20

    Combine the items on the right of the equation:
      -
2999
4000
 x = -
11249
20

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
11249
20
 =
2999
4000
 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 :
     
2999
4000
 x =
11249
20

    The coefficient of the unknown number is reduced to 1 :
      x =
11249
20
 ÷
2999
4000
        =
11249
20
 ×
4000
2999
        = 11249 ×
200
2999

    We obtained :
      x =
2249800
2999
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 750.183394



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