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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 586.7 = [x+50*0.2%+x*1.5%+x*10%+(x+x*10%)*13%]*6 .
    Question type: Equation
    Solution:Original question:
     
5867
10
 = ( x + 50 ×
1
500
 + x ×
3
200
 + x ×
10
100
 + ( x + x ×
10
100
) ×
13
100
) × 6
    Remove the bracket on the right of the equation:
     Right side of the equation = x × 6 + 50 ×
1
500
 × 6 + x ×
3
200
 × 6 + x ×
10
100
 × 6 + ( x + x ×
10
100
)
                                               = x × 6 +
3
5
 + x ×
9
100
 + x ×
3
5
 + ( x + x ×
10
100
) ×
39
50
                                               =
669
100
 x +
3
5
 + ( x + x ×
10
100
) ×
39
50
                                               =
669
100
 x +
3
5
 + x ×
39
50
 + x ×
10
100
 ×
39
50
                                               =
669
100
 x +
3
5
 + x ×
39
50
 + x ×
39
500
                                               =
1887
250
 x +
3
5
    The equation is transformed into :
     
5867
10
 =
1887
250
 x +
3
5

    Transposition :
      -
1887
250
 x =
3
5
 −
5867
10

    Combine the items on the right of the equation:
      -
1887
250
 x = -
5861
10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
5861
10
 =
1887
250
 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 :
     
1887
250
 x =
5861
10

    The coefficient of the unknown number is reduced to 1 :
      x =
5861
10
 ÷
1887
250
        =
5861
10
 ×
250
1887
        = 5861 ×
25
1887

    We obtained :
      x =
146525
1887
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 77.649709



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