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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+1/(x+20) = 1/(x+2) .
    Question type: Equation
    Solution:Original question:
     2 ÷ x + 1 ÷ ( x + 20) = 1 ÷ ( x + 2)
     Multiply both sides of the equation by: x  ,  ( x + 2)
     2( x + 2) + 1 ÷ ( x + 20) × x ( x + 2) = 1 x
    Remove a bracket on the left of the equation::
     2 x + 2 × 2 + 1 ÷ ( x + 20) × x ( x + 2) = 1 x
    The equation is reduced to :
     2 x + 4 + 1 ÷ ( x + 20) × x ( x + 2) = 1 x
     Multiply both sides of the equation by:( x + 20)
     2 x ( x + 20) + 4( x + 20) + 1 x ( x + 2) = 1 x ( x + 20)
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 20 + 4( x + 20) + 1 x ( x + 2) = 1 x ( x + 20)
    Remove a bracket on the right of the equation::
     2 x x + 2 x × 20 + 4( x + 20) + 1 x ( x + 2) = 1 x x + 1 x × 20
    The equation is reduced to :
     2 x x + 40 x + 4( x + 20) + 1 x ( x + 2) = 1 x x + 20 x
    Remove a bracket on the left of the equation:
     2 x x + 40 x + 4 x + 4 × 20 + 1 x ( x + 2) = 1 x x + 20 x
    The equation is reduced to :
     2 x x + 40 x + 4 x + 80 + 1 x ( x + 2) = 1 x x + 20 x
    The equation is reduced to :
     2 x x + 44 x + 80 + 1 x ( x + 2) = 1 x x + 20 x
    Remove a bracket on the left of the equation:
     2 x x + 44 x + 80 + 1 x x + 1 x × 2 = 1 x x + 20 x
    The equation is reduced to :
     2 x x + 44 x + 80 + 1 x x + 2 x = 1 x x + 20 x
    The equation is reduced to :
     2 x x + 46 x + 80 + 1 x x = 1 x x + 20 x

    After the equation is converted into a general formula, it is converted into:
    ( x + 8 )( x + 5 )=0
    From
        x + 8 = 0
        x + 5 = 0

    it is concluded that::
        x1=-8
        x2=-5
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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