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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 (20+18.5*2+8.5*0.2+7.1*5.6+7.2*(X+4.2))*0.49-2*18*07 = 7.5*2.04X*1.428 .
    Question type: Equation
    Solution:Original question:
     (20 +
37
2
 × 2 +
17
2
 ×
1
5
 +
71
10
 ×
28
5
 +
36
5
( X +
21
5
)) ×
49
100
 − 2 × 18 × 7 =
15
2
 ×
51
25
 X ×
357
250
     Left side of the equation = (20 +
37
2
 × 2 +
17
2
 ×
1
5
 +
71
10
 ×
28
5
 +
36
5
( X +
21
5
)) ×
49
100
 − 252
    The equation is transformed into :
     (20 +
37
2
 × 2 +
17
2
 ×
1
5
 +
71
10
 ×
28
5
 +
36
5
( X +
21
5
)) ×
49
100
 − 252 =
15
2
 ×
51
25
 X ×
357
250
    Remove the bracket on the left of the equation:
     Left side of the equation = 20 ×
49
100
 +
37
2
 × 2 ×
49
100
 +
17
2
 ×
1
5
 ×
49
100
 +
71
10
 ×
28
5
 ×
49
100
 +
36
5
                                             =
49
5
 +
1813
100
 +
833
1000
 +
24353
1250
 +
441
125
( X +
21
5
) − 252
                                             = -
1018773
5000
 +
441
125
( X +
21
5
)
                                             = -
1018773
5000
 +
441
125
 X +
441
125
 ×
21
5
                                             = -
1018773
5000
 +
441
125
 X +
9261
625
                                             = -
188937
1000
 +
441
125
 X
    The equation is transformed into :
      -
188937
1000
 +
441
125
 X =
15
2
 ×
51
25
 X ×
357
250
     Right side of the equation =
54621
2500
 X
    The equation is transformed into :
      -
188937
1000
 +
441
125
 X =
54621
2500
 X

    Transposition :
     
441
125
 X −
54621
2500
 X =
188937
1000

    Combine the items on the left of the equation:
      -
45801
2500
 X =
188937
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
188937
1000
 =
45801
2500
 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 :
     
45801
2500
 X = -
188937
1000

    The coefficient of the unknown number is reduced to 1 :
      X = -
188937
1000
 ÷
45801
2500
        = -
188937
1000
 ×
2500
45801
        = -
2999
2
 ×
5
727

    We obtained :
      X = -
14995
1454
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 10.31293



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