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    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation [（x－10000×6%－4000/1250×1000×9%）×（1－25%）－6000×10%]/1000 = [（x－10000×6%）×（1－25%）－6000×10%]/（1000＋4000/10） .
    Question type: Equation
    Solution:Original question:
     (( x − 10000 ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) − 6000 ×
10
100
) ÷ 1000 = (( x − 10000 ×
6
100
)(1 −
25
100
) − 6000 ×
10
100
) ÷ (1000 + 4000 ÷ 10)
     Multiply both sides of the equation by:(1000 + 4000 ÷ 10)
     (( x − 10000 ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) − 6000 ×
10
100
) ÷ 1000 × (1000 + 4000 ÷ 10) = (( x − 10000 ×
6
100
)(1 −
25
100
) − 6000 ×
10
100
)
    Remove a bracket on the left of the equation:：
     ( x − 10000 ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) ÷ 1000 × (1000 + 4000 ÷ 10) − 6000 ×
10
100
 ÷ 1000 × (1000 + 4000 ÷ 10) = (( x − 10000 ×
6
100
)(1 −
25
100
) − 6000 ×
10
100
)
    Remove a bracket on the right of the equation:：
     ( x − 10000 ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) ÷ 1000 × (1000 + 4000 ÷ 10) − 6000 ×
10
100
 ÷ 1000 × (1000 + 4000 ÷ 10) = ( x − 10000 ×
6
100
)(1 −
25
100
) − 6000 ×
10
100
    The equation is reduced to :
     ( x − 10000 ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) ×
1
1000
(1000 + 4000 ÷ 10) −
3
5
(1000 + 4000 ÷ 10) = ( x − 10000 ×
6
100
)(1 −
25
100
) − 600
    Remove a bracket on the left of the equation:
      x (1 −
25
100
) ×
1
1000
(1000 + 4000 ÷ 10) − 10000 ×
6
100
(1 −
25
100
) ×
1
1000
(1000 + 4000 ÷ 10) − 4000 ÷ 1250 × 1000 = ( x − 10000 ×
6
100
)(1 −
25
100
) − 600
    Remove a bracket on the right of the equation:：
      x (1 −
25
100
) ×
1
1000
(1000 + 4000 ÷ 10) − 10000 ×
6
100
(1 −
25
100
) ×
1
1000
(1000 + 4000 ÷ 10) − 4000 ÷ 1250 × 1000 = x (1 −
25
100
) − 10000 ×
6
100
(1 −
25
100
) − 600
    The equation is reduced to :
      x (1 −
25
100
) ×
1
1000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
(1000 + 4000 ÷ 10) = x (1 −
25
100
) − 600(1 −
25
100
) − 600
    Remove a bracket on the left of the equation:
      x × 1 ×
1
1000
(1000 + 4000 ÷ 10) − x ×
25
100
 ×
1
1000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
 = x (1 −
25
100
) − 600(1 −
25
100
) − 600
    Remove a bracket on the right of the equation:：
      x × 1 ×
1
1000
(1000 + 4000 ÷ 10) − x ×
25
100
 ×
1
1000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
 = x × 1 − x ×
25
100
 − 600(1 −
25
100
) − 600
    The equation is reduced to :
      x ×
1
1000
(1000 + 4000 ÷ 10) − x ×
1
4000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) = x × 1 − x ×
25
100
 − 600(1 −
25
100
) − 600
    The equation is reduced to :
      x ×
1
1000
(1000 + 4000 ÷ 10) − x ×
1
4000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) =
3
4
 x − 600(1 −
25
100
) − 600
    Remove a bracket on the left of the equation:
      x ×
1
1000
 × 1000 + x ×
1
1000
 × 4000 ÷ 10 − x ×
1
4000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
) =
3
4
 x − 600(1 −
25
100
) − 600
    Remove a bracket on the right of the equation:：
      x ×
1
1000
 × 1000 + x ×
1
1000
 × 4000 ÷ 10 − x ×
1
4000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
) =
3
4
 x − 600 × 1 + 600 ×
25
100
 − 600
    The equation is reduced to :
      x × 1 + x ×
2
5
 − x ×
1
4000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
) =
3
4
 x − 600 + 150 − 600
    The equation is reduced to :
     
7
5
 x − x ×
1
4000
(1000 + 4000 ÷ 10) −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
 =
3
4
 x − 1050
    Remove a bracket on the left of the equation:
     
7
5
 x − x ×
1
4000
 × 1000 − x ×
1
4000
 × 4000 ÷ 10 −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) =
3
4
 x − 1050
    The equation is reduced to :
     
7
5
 x − x ×
1
4
 − x ×
1
10
 −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) =
3
4
 x − 1050
    The equation is reduced to :
     
21
20
 x −
3
5
(1 −
25
100
)(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
(1000 + 4000 ÷ 10) =
3
4
 x − 1050
    Remove a bracket on the left of the equation:
     
21
20
 x −
3
5
 × 1(1000 + 4000 ÷ 10) +
3
5
 ×
25
100
(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
 =
3
4
 x − 1050
    The equation is reduced to :
     
21
20
 x −
3
5
(1000 + 4000 ÷ 10) +
3
20
(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
(1000 + 4000 ÷ 10) =
3
4
 x − 1050
    Remove a bracket on the left of the equation:
     
21
20
 x −
3
5
 × 1000 −
3
5
 × 4000 ÷ 10 +
3
20
(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) =
3
4
 x − 1050
    The equation is reduced to :
     
21
20
 x − 600 − 240 +
3
20
(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
(1000 + 4000 ÷ 10) =
3
4
 x − 1050
    The equation is reduced to :
     
21
20
 x − 840 +
3
20
(1000 + 4000 ÷ 10) −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
(1000 + 4000 ÷ 10) =
3
4
 x − 1050
    Remove a bracket on the left of the equation:
     
21
20
 x − 840 +
3
20
 × 1000 +
3
20
 × 4000 ÷ 10 −
36
125
(1 −
25
100
)(1000 + 4000 ÷ 10) −
3
5
 =
3
4
 x − 1050
    This equation has no real solution!


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