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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+1/(x+0.1)+1/(x+2)+1/(x+5)-1/(x+0.3) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ x + 1 ÷ ( x +
1
10
) + 1 ÷ ( x + 2) + 1 ÷ ( x + 5)1 ÷ ( x +
3
10
) = 0
     Multiply both sides of the equation by: x
     1 + 1 ÷ ( x +
1
10
) × x + 1 ÷ ( x + 2) × x + 1 ÷ ( x + 5) × x 1 ÷ ( x +
3
10
) = 0
     Multiply both sides of the equation by:( x +
1
10
)
     1( x +
1
10
) + 1 x + 1 ÷ ( x + 2) × x ( x +
1
10
) + 1 ÷ ( x + 5) × x ( x +
1
10
) = 0
    Remove a bracket on the left of the equation:
     1 x + 1 ×
1
10
+ 1 x + 1 ÷ ( x + 2) × x ( x +
1
10
) + 1 ÷ ( x + 5) = 0
    The equation is reduced to :
     1 x +
1
10
+ 1 x + 1 ÷ ( x + 2) × x ( x +
1
10
) + 1 ÷ ( x + 5) × x = 0
    The equation is reduced to :
     2 x +
1
10
+ 1 ÷ ( x + 2) × x ( x +
1
10
) + 1 ÷ ( x + 5) × x ( x +
1
10
)1 = 0
     Multiply both sides of the equation by:( x + 2)
     2 x ( x + 2) +
1
10
( x + 2) + 1 x ( x +
1
10
) + 1 ÷ ( x + 5) × x ( x +
1
10
) = 0
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 2 +
1
10
( x + 2) + 1 x ( x +
1
10
) + 1 = 0
    The equation is reduced to :
     2 x x + 4 x +
1
10
( x + 2) + 1 x ( x +
1
10
) + 1 ÷ ( x + 5) = 0
     Multiply both sides of the equation by:( x + 5)
     2 x x ( x + 5) + 4 x ( x + 5) +
1
10
( x + 2)( x + 5) + 1 x = 0
    Remove a bracket on the left of the equation:
     2 x x x + 2 x x × 5 + 4 x ( x + 5) +
1
10
= 0
    The equation is reduced to :
     2 x x x + 10 x x + 4 x ( x + 5) +
1
10
( x + 2) = 0
     Multiply both sides of the equation by:( x +
3
10
)
     2 x x x ( x +
3
10
) + 10 x x ( x +
3
10
) + 4 x ( x + 5) = 0
    Remove a bracket on the left of the equation:
     2 x x x x + 2 x x x ×
3
10
+ 10 x = 0
    The equation is reduced to :
     2 x x x x +
3
5
x x x + 10 x x = 0
    Remove a bracket on the left of the equation:
     2 x x x x +
3
5
x x x + 10 x x = 0
    The equation is reduced to :
     2 x x x x +
3
5
x x x + 10 x x = 0
    Remove a bracket on the left of the equation:
     2 x x x x +
3
5
x x x + 10 x x = 0
    The equation is reduced to :
     2 x x x x +
3
5
x x x + 10 x x = 0
    Remove a bracket on the left of the equation:
     2 x x x x +
3
5
x x x + 10 x x = 0
    The equation is reduced to :
     2 x x x x +
3
5
x x x + 10 x x = 0

    
        x≈-3.771450 , 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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