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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 1119366.835 = 1546x+(x-620.62)*1*12+(x-758.39)*1*5+(x-675.06)*4*5+(x-660)*1*6+(x-660)*3*5+(x-660)*1*5 .
    Question type: Equation
    Solution:Original question:
     
223873367
200
= 1546 x + ( x
31031
50
) × 1 × 12 + ( x
75839
100
) × 1 × 5 + ( x
33753
50
) × 4 × 5 + ( x 660)
     Right side of the equation = 1546 x + ( x
31031
50
) × 12 + ( x
75839
100
) × 5 + ( x
33753
50
) × 20 + ( x 660) × 6 + ( x 660) × 15
    The equation is transformed into :
     
223873367
200
= 1546 x + ( x
31031
50
) × 12 + ( x
75839
100
) × 5 + ( x
33753
50
) × 20 + ( x 660) × 6 + ( x 660) × 15
    Remove the bracket on the right of the equation:
     Right side of the equation = 1546 x + x × 12
31031
50
× 12 + ( x
75839
100
) × 5 + ( x
33753
50
) × 20 + ( x 660) × 6
                                               = 1546 x + x × 12
186186
25
+ ( x
75839
100
) × 5 + ( x
33753
50
) × 20 + ( x 660) × 6 + ( x 660)
                                               = 1558 x
186186
25
+ ( x
75839
100
) × 5 + ( x
33753
50
) × 20 + ( x 660) × 6 + ( x 660) × 15 + ( x 660)
                                               = 1558 x
186186
25
+ x × 5
75839
100
× 5 + ( x
33753
50
) × 20 + ( x 660) × 6 + ( x 660)
                                               = 1558 x
186186
25
+ x × 5
75839
20
+ ( x
33753
50
) × 20 + ( x 660) × 6 + ( x 660) × 15
                                               = 1563 x
1123939
100
+ ( x
33753
50
) × 20 + ( x 660) × 6 + ( x 660) × 15 + ( x 660) × 5
                                               = 1563 x
1123939
100
+ x × 20
33753
50
× 20 + ( x 660) × 6 + ( x 660) × 15 + ( x 660)
                                               = 1563 x
1123939
100
+ x × 20
67506
5
+ ( x 660) × 6 + ( x 660) × 15 + ( x 660) × 5
                                               = 1583 x
2474059
100
+ ( x 660) × 6 + ( x 660) × 15 + ( x 660) × 5
                                               = 1583 x
2474059
100
+ x × 6660 × 6 + ( x 660) × 15 + ( x 660) × 5
                                               = 1583 x
2474059
100
+ x × 63960 + ( x 660) × 15 + ( x 660) × 5
                                               = 1589 x
2870059
100
+ ( x 660) × 15 + ( x 660) × 5
                                               = 1589 x
2870059
100
+ x × 15660 × 15 + ( x 660) × 5
                                               = 1589 x
2870059
100
+ x × 159900 + ( x 660) × 5
                                               = 1604 x
3860059
100
+ ( x 660) × 5
                                               = 1604 x
3860059
100
+ x × 5660 × 5
                                               = 1604 x
3860059
100
+ x × 53300
                                               = 1609 x
4190059
100
    The equation is transformed into :
     
223873367
200
= 1609 x
4190059
100

    Transposition :
      - 1609 x = -
4190059
100
223873367
200

    
        x≈721.732396 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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