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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/1.01*0.01)-(x/1.01*0.01*0.07/2)-{x-(x/1.01*0.01)-(x/1.01*0.01*0.07/2)}*0.16 = 6400 .
    Question type: Equation
    Solution:Original question:
      x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
4
25
= 6400
    Remove the bracket on the left of the equation:
     Left side of the equation = x x ÷
101
100
×
1
100
( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
4
25
                                             = x x ×
1
101
( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
4
25
                                             =
100
101
x ( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
4
25
                                             =
100
101
x x ÷
101
100
×
1
100
×
7
100
÷ 2( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
4
25
                                             =
100
101
x x ×
7
20200
( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
4
25
                                             =
19993
20200
x ( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
4
25
                                             =
19993
20200
x x ×
4
25
+ ( x ÷
101
100
×
1
100
) ×
4
25
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
4
25
                                             =
16761
20200
x + ( x ÷
101
100
×
1
100
) ×
4
25
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
4
25
                                             =
16761
20200
x + x ÷
101
100
×
1
100
×
4
25
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
4
25
                                             =
16761
20200
x + x ×
4
2525
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
4
25
                                             =
16793
20200
x + ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
4
25
                                             =
16793
20200
x + x ÷
101
100
×
1
100
×
7
100
÷ 2 ×
4
25
                                             =
16793
20200
x + x ×
7
126250
                                             =
419853
505000
x
    The equation is transformed into :
     
419853
505000
x = 6400

    The coefficient of the unknown number is reduced to 1 :
      x = 6400 ÷
419853
505000
        = 6400 ×
505000
419853

    We obtained :
      x =
3232000000
419853
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 7697.932372



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