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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-(x*0.13-126)*0.1-(x-467.56-(557.76*0.13-126)*0.1)*0.25 = 539.22 .
    Question type: Equation
    Solution:Original question:
      x ( x ×
13
100
126) ×
1
10
( x
11689
25
(
13944
25
×
13
100
126) ×
1
10
) ×
1
4
=
26961
50
    Remove the bracket on the left of the equation:
     Left side of the equation = x x ×
13
100
×
1
10
+ 126 ×
1
10
( x
11689
25
(
13944
25
×
13
100
126) ×
1
10
) ×
1
4
                                             = x x ×
13
1000
+
63
5
( x
11689
25
(
13944
25
×
13
100
126) ×
1
10
) ×
1
4
                                             =
987
1000
x +
63
5
( x
11689
25
(
13944
25
×
13
100
126) ×
1
10
) ×
1
4
                                             =
987
1000
x +
63
5
x ×
1
4
+
11689
25
×
1
4
+ (
13944
25
×
13
100
126) ×
1
10
×
1
4
                                             =
987
1000
x +
63
5
x ×
1
4
+
11689
100
+ (
13944
25
×
13
100
126) ×
1
40
                                             =
737
1000
x +
12949
100
+ (
13944
25
×
13
100
126) ×
1
40
                                             =
737
1000
x +
12949
100
+
13944
25
×
13
100
×
1
40
126 ×
1
40
                                             =
737
1000
x +
12949
100
+
22659
12500
63
20
                                             =
737
1000
x +
1601909
12500
    The equation is transformed into :
     
737
1000
x +
1601909
12500
=
26961
50

    Transposition :
     
737
1000
x =
26961
50
1601909
12500

    Combine the items on the right of the equation:
     
737
1000
x =
5138341
12500

    The coefficient of the unknown number is reduced to 1 :
      x =
5138341
12500
÷
737
1000
        =
5138341
12500
×
1000
737
        =
5138341
25
×
2
737

    We obtained :
      x =
10276682
18425
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 557.757503



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