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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-7500*5%-4000*6%)*(1-25%)-30*100*8%)/500 = ((x-7500*5%)*(1-25%)-30*100*8%)/(500+4000/16) .
    Question type: Equation
    Solution:Original question:
     (( x − 7500 ×
5
100
 − 4000 ×
6
100
)(1 −
25
100
) − 30 × 100 ×
8
100
) ÷ 500 = (( x − 7500 ×
5
100
)(1 −
25
100
) − 30 × 100 ×
8
100
) ÷ (500 + 4000 ÷ 16)
     Multiply both sides of the equation by:(500 + 4000 ÷ 16)
     (( x − 7500 ×
5
100
 − 4000 ×
6
100
)(1 −
25
100
) − 30 × 100 ×
8
100
) ÷ 500 × (500 + 4000 ÷ 16) = (( x − 7500 ×
5
100
)(1 −
25
100
) − 30 × 100 ×
8
100
)
    Remove a bracket on the left of the equation:：
     ( x − 7500 ×
5
100
 − 4000 ×
6
100
)(1 −
25
100
) ÷ 500 × (500 + 4000 ÷ 16) − 30 × 100 ×
8
100
 ÷ 500 × (500 + 4000 ÷ 16) = (( x − 7500 ×
5
100
)(1 −
25
100
) − 30 × 100 ×
8
100
)
    Remove a bracket on the right of the equation:：
     ( x − 7500 ×
5
100
 − 4000 ×
6
100
)(1 −
25
100
) ÷ 500 × (500 + 4000 ÷ 16) − 30 × 100 ×
8
100
 ÷ 500 × (500 + 4000 ÷ 16) = ( x − 7500 ×
5
100
)(1 −
25
100
) − 30 × 100 ×
8
100
    The equation is reduced to :
     ( x − 7500 ×
5
100
 − 4000 ×
6
100
)(1 −
25
100
) ×
1
500
(500 + 4000 ÷ 16) −
12
25
(500 + 4000 ÷ 16) = ( x − 7500 ×
5
100
)(1 −
25
100
) − 240
    Remove a bracket on the left of the equation:
      x (1 −
25
100
) ×
1
500
(500 + 4000 ÷ 16) − 7500 ×
5
100
(1 −
25
100
) ×
1
500
(500 + 4000 ÷ 16) − 4000 ×
6
100
(1 −
25
100
) = ( x − 7500 ×
5
100
)(1 −
25
100
) − 240
    Remove a bracket on the right of the equation:：
      x (1 −
25
100
) ×
1
500
(500 + 4000 ÷ 16) − 7500 ×
5
100
(1 −
25
100
) ×
1
500
(500 + 4000 ÷ 16) − 4000 ×
6
100
(1 −
25
100
) = x (1 −
25
100
) − 7500 ×
5
100
(1 −
25
100
) − 240
    The equation is reduced to :
      x (1 −
25
100
) ×
1
500
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(500 + 4000 ÷ 16) = x (1 −
25
100
) − 375(1 −
25
100
) − 240
    Remove a bracket on the left of the equation:
      x × 1 ×
1
500
(500 + 4000 ÷ 16) − x ×
25
100
 ×
1
500
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
 = x (1 −
25
100
) − 375(1 −
25
100
) − 240
    Remove a bracket on the right of the equation:：
      x × 1 ×
1
500
(500 + 4000 ÷ 16) − x ×
25
100
 ×
1
500
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
 = x × 1 − x ×
25
100
 − 375(1 −
25
100
) − 240
    The equation is reduced to :
      x ×
1
500
(500 + 4000 ÷ 16) − x ×
1
2000
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) = x × 1 − x ×
25
100
 − 375(1 −
25
100
) − 240
    The equation is reduced to :
      x ×
1
500
(500 + 4000 ÷ 16) − x ×
1
2000
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) =
3
4
 x − 375(1 −
25
100
) − 240
    Remove a bracket on the left of the equation:
      x ×
1
500
 × 500 + x ×
1
500
 × 4000 ÷ 16 − x ×
1
2000
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
) =
3
4
 x − 375(1 −
25
100
) − 240
    Remove a bracket on the right of the equation:：
      x ×
1
500
 × 500 + x ×
1
500
 × 4000 ÷ 16 − x ×
1
2000
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
) =
3
4
 x − 375 × 1 + 375 ×
25
100
 − 240
    The equation is reduced to :
      x × 1 + x ×
1
2
 − x ×
1
2000
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
) =
3
4
 x − 375 +
375
4
 − 240
    The equation is reduced to :
     
3
2
 x − x ×
1
2000
(500 + 4000 ÷ 16) −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
 =
3
4
 x −
2085
4
    Remove a bracket on the left of the equation:
     
3
2
 x − x ×
1
2000
 × 500 − x ×
1
2000
 × 4000 ÷ 16 −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) =
3
4
 x −
2085
4
    The equation is reduced to :
     
3
2
 x − x ×
1
4
 − x ×
1
8
 −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) =
3
4
 x −
2085
4
    The equation is reduced to :
     
9
8
 x −
3
4
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(500 + 4000 ÷ 16) =
3
4
 x −
2085
4
    Remove a bracket on the left of the equation:
     
9
8
 x −
3
4
 × 1(500 + 4000 ÷ 16) +
3
4
 ×
25
100
(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
 =
3
4
 x −
2085
4
    The equation is reduced to :
     
9
8
 x −
3
4
(500 + 4000 ÷ 16) +
3
16
(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(500 + 4000 ÷ 16) =
3
4
 x −
2085
4
    Remove a bracket on the left of the equation:
     
9
8
 x −
3
4
 × 500 −
3
4
 × 4000 ÷ 16 +
3
16
(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) =
3
4
 x −
2085
4
    The equation is reduced to :
     
9
8
 x − 375 −
375
2
 +
3
16
(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(500 + 4000 ÷ 16) =
3
4
 x −
2085
4
    The equation is reduced to :
     
9
8
 x −
1125
2
 +
3
16
(500 + 4000 ÷ 16) −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
(500 + 4000 ÷ 16) =
3
4
 x −
2085
4
    Remove a bracket on the left of the equation:
     
9
8
 x −
1125
2
 +
3
16
 × 500 +
3
16
 × 4000 ÷ 16 −
12
25
(1 −
25
100
)(500 + 4000 ÷ 16) −
12
25
 =
3
4
 x −
2085
4
    This equation has no real solution!


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