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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 2/x+2/(x+4) = 1/(x+0.5) .
    Question type: Equation
    Solution:Original question:
     2 ÷ x + 2 ÷ ( x + 4) = 1 ÷ ( x +
1
2
)
     Multiply both sides of the equation by: x  ,  ( x +
1
2
)
     2( x +
1
2
) + 2 ÷ ( x + 4) × x ( x +
1
2
) = 1 x
    Remove a bracket on the left of the equation::
     2 x + 2 ×
1
2
+ 2 ÷ ( x + 4) × x ( x +
1
2
) = 1 x
    The equation is reduced to :
     2 x + 1 + 2 ÷ ( x + 4) × x ( x +
1
2
) = 1 x
     Multiply both sides of the equation by:( x + 4)
     2 x ( x + 4) + 1( x + 4) + 2 x ( x +
1
2
) = 1 x ( x + 4)
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 4 + 1( x + 4) + 2 x ( x +
1
2
) = 1 x ( x + 4)
    Remove a bracket on the right of the equation::
     2 x x + 2 x × 4 + 1( x + 4) + 2 x ( x +
1
2
) = 1 x x + 1 x × 4
    The equation is reduced to :
     2 x x + 8 x + 1( x + 4) + 2 x ( x +
1
2
) = 1 x x + 4 x
    Remove a bracket on the left of the equation:
     2 x x + 8 x + 1 x + 1 × 4 + 2 x ( x +
1
2
) = 1 x x + 4 x
    The equation is reduced to :
     2 x x + 8 x + 1 x + 4 + 2 x ( x +
1
2
) = 1 x x + 4 x
    The equation is reduced to :
     2 x x + 9 x + 4 + 2 x ( x +
1
2
) = 1 x x + 4 x
    Remove a bracket on the left of the equation:
     2 x x + 9 x + 4 + 2 x x + 2 x ×
1
2
= 1 x x + 4 x
    The equation is reduced to :
     2 x x + 9 x + 4 + 2 x x + 1 x = 1 x x + 4 x
    The equation is reduced to :
     2 x x + 10 x + 4 + 2 x x = 1 x x + 4 x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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