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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.
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    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 x+4.08+(x+4.08)*0.05+(x+4.08)*0.1+(x+4.08)*0.03 = 74.69 .
    Question type: Equation
    Solution:Original question:
      x +
102
25
+ ( x +
102
25
) ×
1
20
+ ( x +
102
25
) ×
1
10
+ ( x +
102
25
) ×
3
100
=
7469
100
    Remove the bracket on the left of the equation:
     Left side of the equation = x +
102
25
+ x ×
1
20
+
102
25
×
1
20
+ ( x +
102
25
) ×
1
10
+ ( x +
102
25
) ×
3
100
                                             = x +
102
25
+ x ×
1
20
+
51
250
+ ( x +
102
25
) ×
1
10
+ ( x +
102
25
) ×
3
100
                                             =
21
20
x +
1071
250
+ ( x +
102
25
) ×
1
10
+ ( x +
102
25
) ×
3
100
                                             =
21
20
x +
1071
250
+ x ×
1
10
+
102
25
×
1
10
+ ( x +
102
25
) ×
3
100
                                             =
21
20
x +
1071
250
+ x ×
1
10
+
51
125
+ ( x +
102
25
) ×
3
100
                                             =
23
20
x +
1173
250
+ ( x +
102
25
) ×
3
100
                                             =
23
20
x +
1173
250
+ x ×
3
100
+
102
25
×
3
100
                                             =
23
20
x +
1173
250
+ x ×
3
100
+
153
1250
                                             =
59
50
x +
3009
625
    The equation is transformed into :
     
59
50
x +
3009
625
=
7469
100

    Transposition :
     
59
50
x =
7469
100
3009
625

    Combine the items on the right of the equation:
     
59
50
x =
174689
2500

    The coefficient of the unknown number is reduced to 1 :
      x =
174689
2500
÷
59
50
        =
174689
2500
×
50
59
        =
174689
50
×
1
59

    We obtained :
      x =
174689
2950
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 59.21661



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