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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 = 377.49+x*(1+10%)*1%+(300+x*1000*0.13%)/1000+11+(60*13+810+x*1000*5%)/1000-433.33*15% .
    Question type: Equation
    Solution:Original question:
      x =
37749
100
+ x (1 +
10
100
) ×
1
100
+ (300 + x × 1000 ×
13
10000
) ÷ 1000 + 11 + (60 × 13 + 810 + x × 1000 ×
5
100
) ÷ 1000
43333
100
×
15
100
     Right side of the equation =
37749
100
+ x (1 +
10
100
) ×
1
100
+ (300 + x × 1000 ×
13
10000
) ×
1
1000
+ 11 + (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
129999
2000
                                               =
646981
2000
+ x (1 +
10
100
) ×
1
100
+ (300 + x × 1000 ×
13
10000
) ×
1
1000
+ (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
    The equation is transformed into :
      x =
646981
2000
+ x (1 +
10
100
) ×
1
100
+ (300 + x × 1000 ×
13
10000
) ×
1
1000
+ (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
    Remove the bracket on the right of the equation:
     Right side of the equation =
646981
2000
+ x × 1 ×
1
100
+ x ×
10
100
×
1
100
+ (300 + x × 1000 ×
13
10000
) ×
1
1000
+ (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
                                               =
646981
2000
+ x ×
1
100
+ x ×
1
1000
+ (300 + x × 1000 ×
13
10000
) ×
1
1000
+ (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
                                               =
646981
2000
+
11
1000
x + (300 + x × 1000 ×
13
10000
) ×
1
1000
+ (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
                                               =
646981
2000
+
11
1000
x + 300 ×
1
1000
+ x × 1000 ×
13
10000
×
1
1000
+ (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
                                               =
646981
2000
+
11
1000
x +
3
10
+ x ×
13
10000
+ (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
                                               =
647581
2000
+
123
10000
x + (60 × 13 + 810 + x × 1000 ×
5
100
) ×
1
1000
                                               =
647581
2000
+
123
10000
x + 60 × 13 ×
1
1000
+ 810 ×
1
1000
+ x × 1000 ×
5
100
×
1
1000
                                               =
647581
2000
+
123
10000
x +
39
50
+
81
100
+ x ×
1
20
                                               =
650761
2000
+
623
10000
x
    The equation is transformed into :
      x =
650761
2000
+
623
10000
x

    Transposition :
      x
623
10000
x =
650761
2000

    Combine the items on the left of the equation:
     
9377
10000
x =
650761
2000

    The coefficient of the unknown number is reduced to 1 :
      x =
650761
2000
÷
9377
10000
        =
650761
2000
×
10000
9377
        = 650761 ×
5
9377

    We obtained :
      x =
3253805
9377
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 346.998507



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