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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 0.424/(x-486.1)-1.424/(x-587.6)+1/(x-656.3) = 0 .
    Question type: Equation
    Solution:Original question:
     
53
125
÷ ( x
4861
10
)
178
125
÷ ( x
2938
5
) + 1 ÷ ( x
6563
10
) = 0
     Multiply both sides of the equation by:( x
4861
10
)
     
53
125
178
125
÷ ( x
2938
5
) × ( x
4861
10
) + 1 ÷ ( x
6563
10
) × ( x
4861
10
) = 0
    Remove a bracket on the left of the equation::
     
53
125
178
125
÷ ( x
2938
5
) × x +
178
125
÷ ( x
2938
5
) ×
4861
10
+ 1 ÷ ( x
6563
10
) × ( x
4861
10
) = 0
    The equation is reduced to :
     
53
125
178
125
÷ ( x
2938
5
) × x +
432629
625
÷ ( x
2938
5
) + 1 ÷ ( x
6563
10
) × ( x
4861
10
) = 0
     Multiply both sides of the equation by:( x
2938
5
)
     
53
125
( x
2938
5
)
178
125
x +
432629
625
+ 1 ÷ ( x
6563
10
) × ( x
4861
10
)( x
2938
5
) = 0
    Remove a bracket on the left of the equation:
     
53
125
x
53
125
×
2938
5
178
125
x +
432629
625
+ 1 ÷ ( x
6563
10
) × ( x
4861
10
)( x
2938
5
) = 0
    The equation is reduced to :
     
53
125
x
155714
625
178
125
x +
432629
625
+ 1 ÷ ( x
6563
10
) × ( x
4861
10
)( x
2938
5
) = 0
    The equation is reduced to :
      - 1 x +
55383
125
+ 1 ÷ ( x
6563
10
) × ( x
4861
10
)( x
2938
5
) = 0
     Multiply both sides of the equation by:( x
6563
10
)
      - 1 x ( x
6563
10
) +
55383
125
( x
6563
10
) + 1( x
4861
10
)( x
2938
5
) = 0
    Remove a bracket on the left of the equation:
      - 1 x x + 1 x ×
6563
10
+
55383
125
( x
6563
10
) + 1( x
4861
10
)( x
2938
5
) = 0
    The equation is reduced to :
      - 1 x x +
6563
10
x +
55383
125
( x
6563
10
) + 1( x
4861
10
)( x
2938
5
) = 0
    Remove a bracket on the left of the equation:
      - 1 x x +
6563
10
x +
55383
125
x
55383
125
×
6563
10
+ 1( x
4861
10
)( x
2938
5
) = 0
    The equation is reduced to :
      - 1 x x +
6563
10
x +
55383
125
x
363478629
1250
+ 1( x
4861
10
)( x
2938
5
) = 0
    The equation is reduced to :
      - 1 x x +
274841
250
x
363478629
1250
+ 1( x
4861
10
)( x
2938
5
) = 0
    Remove a bracket on the left of the equation:
      - 1 x x +
274841
250
x
363478629
1250
+ 1 x ( x
2938
5
)1 ×
4861
10
( x
2938
5
) = 0
    The equation is reduced to :
      - 1 x x +
274841
250
x
363478629
1250
+ 1 x ( x
2938
5
)
4861
10
( x
2938
5
) = 0
    Remove a bracket on the left of the equation:
      - 1 x x +
274841
250
x
363478629
1250
+ 1 x x 1 x ×
2938
5
= 0
    The equation is reduced to :
      - 1 x x +
274841
250
x
363478629
1250
+ 1 x x
2938
5
x
4861
10
= 0
    The equation is reduced to :
      - 1 x x +
127941
250
x
363478629
1250
+ 1 x x
4861
10
( x
2938
5
) = 0
    Remove a bracket on the left of the equation:
      - 1 x x +
127941
250
x
363478629
1250
+ 1 x x
4861
10
x +
4861
10
= 0
    The equation is reduced to :
      - 1 x x +
127941
250
x
363478629
1250
+ 1 x x
4861
10
x +
7140809
25
= 0
    The equation is reduced to :
      - 1 x x +
3208
125
x
6438179
1250
+ 1 x x = 0

    
        x=
40138273
200000
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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