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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/21.75)/8*2.5*22*1.5)+((x/21.75)/8*10.5*2*8)+(x/21.75)/8*10.5*3 = 5800 .
    Question type: Equation
    Solution:Original question:
      x + (( x ÷
87
4
) ÷ 8 ×
5
2
× 22 ×
3
2
) + (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ÷ 8 ×
21
2
× 3 = 5800
     Left side of the equation = x + (( x ÷
87
4
) ÷ 8 ×
5
2
× 22 ×
3
2
) + (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ×
63
16
    The equation is transformed into :
      x + (( x ÷
87
4
) ÷ 8 ×
5
2
× 22 ×
3
2
) + (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ×
63
16
= 5800
    Remove the bracket on the left of the equation:
     Left side of the equation = x + ( x ÷
87
4
) ÷ 8 ×
5
2
× 22 ×
3
2
+ (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ×
63
16
                                             = x + ( x ÷
87
4
) ×
165
16
+ (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ×
63
16
                                             = x + x ÷
87
4
×
165
16
+ (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ×
63
16
                                             = x + x ×
55
116
+ (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ×
63
16
                                             =
171
116
x + (( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8) + ( x ÷
87
4
) ×
63
16
                                             =
171
116
x + ( x ÷
87
4
) ÷ 8 ×
21
2
× 2 × 8 + ( x ÷
87
4
) ×
63
16
                                             =
171
116
x + ( x ÷
87
4
) × 21 + ( x ÷
87
4
) ×
63
16
                                             =
171
116
x + x ÷
87
4
× 21 + ( x ÷
87
4
) ×
63
16
                                             =
171
116
x + x ×
28
29
+ ( x ÷
87
4
) ×
63
16
                                             =
283
116
x + ( x ÷
87
4
) ×
63
16
                                             =
283
116
x + x ÷
87
4
×
63
16
                                             =
283
116
x + x ×
21
116
                                             =
76
29
x
    The equation is transformed into :
     
76
29
x = 5800

    The coefficient of the unknown number is reduced to 1 :
      x = 5800 ÷
76
29
        = 5800 ×
29
76
        = 1450 ×
29
19

    We obtained :
      x =
42050
19
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2213.157895



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