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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 12000 = 0.5*3.14*1.5*(50*5+70*6+160*x)+0.25*3.14*1.5*1.5*2000 .
    Question type: Equation
    Solution:Original question:
     12000 =
1
2
 ×
157
50
 ×
3
2
(50 × 5 + 70 × 6 + 160 x ) +
1
4
 ×
157
50
 ×
3
2
 ×
3
2
 × 2000
     Right side of the equation =
471
200
(50 × 5 + 70 × 6 + 160 x ) +
7065
2
    The equation is transformed into :
     12000 =
471
200
(50 × 5 + 70 × 6 + 160 x ) +
7065
2
    Remove the bracket on the right of the equation:
     Right side of the equation =
471
200
 × 50 × 5 +
471
200
 × 70 × 6 +
471
200
 × 160 x +
7065
2
                                               =
2355
4
 +
9891
10
 +
1884
5
 x +
7065
2
                                               =
102207
20
 +
1884
5
 x
    The equation is transformed into :
     12000 =
102207
20
 +
1884
5
 x

    Transposition :
      -
1884
5
 x =
102207
20
 − 12000

    Combine the items on the right of the equation:
      -
1884
5
 x = -
137793
20

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
137793
20
 =
1884
5
 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 :
     
1884
5
 x =
137793
20

    The coefficient of the unknown number is reduced to 1 :
      x =
137793
20
 ÷
1884
5
        =
137793
20
 ×
5
1884
        =
45931
4
 ×
1
628

    We obtained :
      x =
45931
2512
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 18.284634



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