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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 （1250-x）22.5*22.5*3.14*7.85+3.14*1/3*7.85（22.5*22.5+22.5*14+14*14）x = 13.23/0.000001 .
    Question type: Equation
    Solution:Original question:
     (1250 − x ) ×
45
2
 ×
45
2
 ×
157
50
 ×
157
20
 +
157
50
 × 1 ÷ 3 ×
157
20
(
45
2
 ×
45
2
 +
45
2
 × 14 + 14 × 14) x =
1323
100
 ÷
1
1000000
     Left side of the equation = (1250 − x ) ×
1996569
160
 +
24649
3000
(
45
2
 ×
45
2
 +
45
2
 × 14 + 14 × 14) x
    The equation is transformed into :
     (1250 − x ) ×
1996569
160
 +
24649
3000
(
45
2
 ×
45
2
 +
45
2
 × 14 + 14 × 14) x =
1323
100
 ÷
1
1000000
    Remove the bracket on the left of the equation:
     Left side of the equation = 1250 ×
1996569
160
 − x ×
1996569
160
 +
24649
3000
(
45
2
 ×
45
2
 +
45
2
 × 14 + 14 × 14) x
                                             =
249571125
16
 − x ×
1996569
160
 +
24649
3000
(
45
2
 ×
45
2
 +
45
2
 × 14 + 14 × 14) x
                                             =
249571125
16
 −
1996569
160
 x +
24649
3000
 ×
45
2
 ×
45
2
 x +
24649
3000
 ×
45
2
 × 14 x +
24649
3000
                                             =
249571125
16
 −
1996569
160
 x +
665523
160
 x +
517629
200
 x +
1207801
750
 x
                                             =
249571125
16
 −
24722947
6000
 x
    The equation is transformed into :
     
249571125
16
 −
24722947
6000
 x =
1323
100
 ÷
1
1000000
     Right side of the equation = 13230000
    The equation is transformed into :
     
249571125
16
 −
24722947
6000
 x = 13230000

    Transposition :
      -
24722947
6000
 x = 13230000 −
249571125
16

    Combine the items on the right of the equation:
      -
24722947
6000
 x = -
37891125
16

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
37891125
16
 =
24722947
6000
 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 :
     
24722947
6000
 x =
37891125
16

    The coefficient of the unknown number is reduced to 1 :
      x =
37891125
16
 ÷
24722947
6000
        =
37891125
16
 ×
6000
24722947
        = 37891125 ×
375
24722947

    We obtained :
      x =
14209171875
24722947
    This is the solution of the equation.



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