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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 1/(x+0.995) = 1/(x-1)+1/(x-0.905) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x +
199
200
) = 1 ÷ ( x − 1) + 1 ÷ ( x −
181
200
)
     Multiply both sides of the equation by:( x +
199
200
) ,  ( x − 1)
     1( x − 1) = 1( x +
199
200
) + 1 ÷ ( x −
181
200
) × ( x +
199
200
)( x − 1)
    Remove a bracket on the left of the equation:：
     1 x − 1 × 1 = 1( x +
199
200
) + 1 ÷ ( x −
181
200
) × ( x +
199
200
)( x − 1)
    Remove a bracket on the right of the equation:：
     1 x − 1 × 1 = 1 x + 1 ×
199
200
 + 1 ÷ ( x −
181
200
) × ( x +
199
200
)( x − 1)
    The equation is reduced to :
     1 x − 1 = 1 x +
199
200
 + 1 ÷ ( x −
181
200
) × ( x +
199
200
)( x − 1)
     Multiply both sides of the equation by:( x −
181
200
)
     1 x ( x −
181
200
) − 1( x −
181
200
) = 1 x ( x −
181
200
) +
199
200
( x −
181
200
) + 1( x +
199
200
)( x − 1)
    Remove a bracket on the left of the equation:
     1 x x − 1 x ×
181
200
 − 1( x −
181
200
) = 1 x ( x −
181
200
) +
199
200
( x −
181
200
) + 1( x +
199
200
)( x − 1)
    Remove a bracket on the right of the equation:：
     1 x x − 1 x ×
181
200
 − 1( x −
181
200
) = 1 x x − 1 x ×
181
200
 +
199
200
( x −
181
200
) + 1( x +
199
200
)( x − 1)
    The equation is reduced to :
     1 x x −
181
200
 x − 1( x −
181
200
) = 1 x x −
181
200
 x +
199
200
( x −
181
200
) + 1( x +
199
200
)( x − 1)
    Remove a bracket on the left of the equation:
     1 x x −
181
200
 x − 1 x + 1 ×
181
200
 = 1 x x −
181
200
 x +
199
200
( x −
181
200
) + 1( x +
199
200
)( x − 1)
    Remove a bracket on the right of the equation:：
     1 x x −
181
200
 x − 1 x + 1 ×
181
200
 = 1 x x −
181
200
 x +
199
200
 x −
199
200
 ×
181
200
 + 1( x +
199
200
)( x − 1)
    The equation is reduced to :
     1 x x −
181
200
 x − 1 x +
181
200
 = 1 x x −
181
200
 x +
199
200
 x −
36019
40000
 + 1( x +
199
200
)( x − 1)
    The equation is reduced to :
     1 x x −
381
200
 x +
181
200
 = 1 x x +
9
100
 x −
36019
40000
 + 1( x +
199
200
)( x − 1)
    Remove a bracket on the right of the equation:：
     1 x x −
381
200
 x +
181
200
 = 1 x x +
9
100
 x −
36019
40000
 + 1 x ( x − 1) + 1 ×
199
200
( x − 1)
    The equation is reduced to :
     1 x x −
381
200
 x +
181
200
 = 1 x x +
9
100
 x −
36019
40000
 + 1 x ( x − 1) +
199
200
( x − 1)
    Remove a bracket on the right of the equation:：
     1 x x −
381
200
 x +
181
200
 = 1 x x +
9
100
 x −
36019
40000
 + 1 x x − 1 x × 1
    The equation is reduced to :
     1 x x −
381
200
 x +
181
200
 = 1 x x +
9
100
 x −
36019
40000
 + 1 x x − 1 x +
199
200
    The equation is reduced to :
     1 x x −
381
200
 x +
181
200
 = 1 x x −
91
100
 x −
36019
40000
 + 1 x x +
199
200
( x − 1)
    Remove a bracket on the right of the equation:：
     1 x x −
381
200
 x +
181
200
 = 1 x x −
91
100
 x −
36019
40000
 + 1 x x +
199
200
 x −
199
200
    The equation is reduced to :
     1 x x −
381
200
 x +
181
200
 = 1 x x −
91
100
 x −
36019
40000
 + 1 x x +
199
200
 x −
199
200
    The equation is reduced to :
     1 x x −
381
200
 x +
181
200
 = 1 x x +
17
200
 x −
75819
40000
 + 1 x x

    
        x≈-2.941921 , keep 6 decimal places    
    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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