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On line Solution of Monovariate 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+((X/21.75)/8*2.5*22*1.5)+((X/21.75)/8*10.5*2*6)+(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 × 6) + ( 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 × 6) + ( 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 × 6) + ( 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 × 6) + ( X ÷
87
4
) ×
63
16
                                             = X + ( X ÷
87
4
) ×
165
16
+ (( X ÷
87
4
) ÷ 8 ×
21
2
× 2 × 6) + ( X ÷
87
4
) ×
63
16
                                             = X + X ÷
87
4
×
165
16
+ (( X ÷
87
4
) ÷ 8 ×
21
2
× 2 × 6) + ( X ÷
87
4
) ×
63
16
                                             = X + X ×
55
116
+ (( X ÷
87
4
) ÷ 8 ×
21
2
× 2 × 6) + ( X ÷
87
4
) ×
63
16
                                             =
171
116
X + (( X ÷
87
4
) ÷ 8 ×
21
2
× 2 × 6) + ( X ÷
87
4
) ×
63
16
                                             =
171
116
X + ( X ÷
87
4
) ÷ 8 ×
21
2
× 2 × 6 + ( X ÷
87
4
) ×
63
16
                                             =
171
116
X + ( X ÷
87
4
) ×
63
4
+ ( X ÷
87
4
) ×
63
16
                                             =
171
116
X + X ÷
87
4
×
63
4
+ ( X ÷
87
4
) ×
63
16
                                             =
171
116
X + X ×
21
29
+ ( X ÷
87
4
) ×
63
16
                                             =
255
116
X + ( X ÷
87
4
) ×
63
16
                                             =
255
116
X + X ÷
87
4
×
63
16
                                             =
255
116
X + X ×
21
116
                                             =
69
29
X
    The equation is transformed into :
     
69
29
X = 5800

    The coefficient of the unknown number is reduced to 1 :
      X = 5800 ÷
69
29
        = 5800 ×
29
69

    We obtained :
      X =
168200
69
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 2437.681159



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