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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-200）*（1-25%）)/(3000+300) = (（x-200-150）*(1-25%))/3000 .
    Question type: Equation
    Solution:Original question:
     (( x − 200)(1 −
25
100
)) ÷ (3000 + 300) = (( x − 200 − 150)(1 −
25
100
)) ÷ 3000
     Multiply both sides of the equation by:(3000 + 300)
     (( x − 200)(1 −
25
100
)) = (( x − 200 − 150)(1 −
25
100
)) ÷ 3000 × (3000 + 300)
    Remove a bracket on the left of the equation:：
     ( x − 200)(1 −
25
100
) = (( x − 200 − 150)(1 −
25
100
)) ÷ 3000 × (3000 + 300)
    Remove a bracket on the right of the equation:：
     ( x − 200)(1 −
25
100
) = ( x − 200 − 150)(1 −
25
100
) ÷ 3000 × (3000 + 300)
    Remove a bracket on the left of the equation:
      x (1 −
25
100
) − 200(1 −
25
100
) = ( x − 200 − 150)(1 −
25
100
) ×
1
3000
(3000 + 300)
    Remove a bracket on the right of the equation:：
      x (1 −
25
100
) − 200(1 −
25
100
) = x (1 −
25
100
) ×
1
3000
(3000 + 300) − 200(1 −
25
100
) ×
1
3000
(3000 + 300) − 150(1 −
25
100
) ×
1
3000
(3000 + 300)
    The equation is reduced to :
      x (1 −
25
100
) − 200(1 −
25
100
) = x (1 −
25
100
) ×
1
3000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the left of the equation:
      x × 1 − x ×
25
100
 − 200(1 −
25
100
) = x (1 −
25
100
) ×
1
3000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the right of the equation:：
      x × 1 − x ×
25
100
 − 200(1 −
25
100
) = x × 1 ×
1
3000
(3000 + 300) − x ×
25
100
 ×
1
3000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
    The equation is reduced to :
      x × 1 − x ×
25
100
 − 200(1 −
25
100
) = x ×
1
3000
(3000 + 300) − x ×
1
12000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    The equation is reduced to :
     
3
4
 x − 200(1 −
25
100
) = x ×
1
3000
(3000 + 300) − x ×
1
12000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the left of the equation:
     
3
4
 x − 200 × 1 + 200 ×
25
100
 = x ×
1
3000
(3000 + 300) − x ×
1
12000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the right of the equation:：
     
3
4
 x − 200 × 1 + 200 ×
25
100
 = x ×
1
3000
 × 3000 + x ×
1
3000
 × 300 − x ×
1
12000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300)
    The equation is reduced to :
     
3
4
 x − 200 + 50 = x × 1 + x ×
1
10
 − x ×
1
12000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)
    The equation is reduced to :
     
3
4
 x − 150 =
11
10
 x − x ×
1
12000
(3000 + 300) −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the right of the equation:：
     
3
4
 x − 150 =
11
10
 x − x ×
1
12000
 × 3000 − x ×
1
12000
 × 300 −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
    The equation is reduced to :
     
3
4
 x − 150 =
11
10
 x − x ×
1
4
 − x ×
1
40
 −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    The equation is reduced to :
     
3
4
 x − 150 =
33
40
 x −
1
15
(1 −
25
100
)(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the right of the equation:：
     
3
4
 x − 150 =
33
40
 x −
1
15
 × 1(3000 + 300) +
1
15
 ×
25
100
(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    The equation is reduced to :
     
3
4
 x − 150 =
33
40
 x −
1
15
(3000 + 300) +
1
60
(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the right of the equation:：
     
3
4
 x − 150 =
33
40
 x −
1
15
 × 3000 −
1
15
 × 300 +
1
60
(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    The equation is reduced to :
     
3
4
 x − 150 =
33
40
 x − 200 − 20 +
1
60
(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    The equation is reduced to :
     
3
4
 x − 150 =
33
40
 x − 220 +
1
60
(3000 + 300) −
1
20
(1 −
25
100
)(3000 + 300)
    Remove a bracket on the right of the equation:：
     
3
4
 x − 150 =
33
40
 x − 220 +
1
60
 × 3000 +
1
60
 × 300 −
1
20
(1 −
25
100
)(3000 + 300)
    The equation is reduced to :
     
3
4
 x − 150 =
33
40
 x − 220 + 50 + 5 −
1
20
(1 −
25
100
)(3000 + 300)
    This equation has no real solution!


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