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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+3)+1/(x+7) = 1/(x+1) .
    Question type: Equation
    Solution:Original question:
     2 ÷ x + 1 ÷ ( x + 3) + 1 ÷ ( x + 7) = 1 ÷ ( x + 1)
     Multiply both sides of the equation by: x  ,  ( x + 1)
     2( x + 1) + 1 ÷ ( x + 3) × x ( x + 1) + 1 ÷ ( x + 7) × x ( x + 1) = 1 x
    Remove a bracket on the left of the equation::
     2 x + 2 × 1 + 1 ÷ ( x + 3) × x ( x + 1) + 1 ÷ ( x + 7) × x ( x + 1) = 1 x
    The equation is reduced to :
     2 x + 2 + 1 ÷ ( x + 3) × x ( x + 1) + 1 ÷ ( x + 7) × x ( x + 1) = 1 x
     Multiply both sides of the equation by:( x + 3)
     2 x ( x + 3) + 2( x + 3) + 1 x ( x + 1) + 1 ÷ ( x + 7) × x ( x + 1) = 1 x ( x + 3)
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 3 + 2( x + 3) + 1 x ( x + 1) + 1 = 1 x ( x + 3)
    Remove a bracket on the right of the equation::
     2 x x + 2 x × 3 + 2( x + 3) + 1 x ( x + 1) + 1 = 1 x x + 1 x × 3
    The equation is reduced to :
     2 x x + 6 x + 2( x + 3) + 1 x ( x + 1) + 1 ÷ ( x + 7) = 1 x x + 3 x
     Multiply both sides of the equation by:( x + 7)
     2 x x ( x + 7) + 6 x ( x + 7) + 2( x + 3)( x + 7) + 1 x = 1 x x ( x + 7) + 3 x ( x + 7)
    Remove a bracket on the left of the equation:
     2 x x x + 2 x x × 7 + 6 x ( x + 7) + 2 = 1 x x ( x + 7) + 3 x ( x + 7)
    Remove a bracket on the right of the equation::
     2 x x x + 2 x x × 7 + 6 x ( x + 7) + 2 = 1 x x x + 1 x x × 7 + 3 x ( x + 7)
    The equation is reduced to :
     2 x x x + 14 x x + 6 x ( x + 7) + 2( x + 3) = 1 x x x + 7 x x + 3 x ( x + 7)
    Remove a bracket on the left of the equation:
     2 x x x + 14 x x + 6 x x + 6 x = 1 x x x + 7 x x + 3 x ( x + 7)
    Remove a bracket on the right of the equation::
     2 x x x + 14 x x + 6 x x + 6 x = 1 x x x + 7 x x + 3 x x + 3 x
    The equation is reduced to :
     2 x x x + 14 x x + 6 x x + 42 x = 1 x x x + 7 x x + 3 x x + 21 x
    Remove a bracket on the left of the equation:
     2 x x x + 14 x x + 6 x x + 42 x = 1 x x x + 7 x x + 3 x x + 21 x
    The equation is reduced to :
     2 x x x + 14 x x + 6 x x + 42 x = 1 x x x + 7 x x + 3 x x + 21 x
    Remove a bracket on the left of the equation:
     2 x x x + 14 x x + 6 x x + 42 x = 1 x x x + 7 x x + 3 x x + 21 x
    The equation is reduced to :
     2 x x x + 14 x x + 6 x x + 42 x = 1 x x x + 7 x x + 3 x x + 21 x
    The equation is reduced to :
     2 x x x + 14 x x + 6 x x + 56 x = 1 x x x + 7 x x + 3 x x + 21 x
    Remove a bracket on the left of the equation:
     2 x x x + 14 x x + 6 x x + 56 x = 1 x x x + 7 x x + 3 x x + 21 x
    The equation is reduced to :
     2 x x x + 14 x x + 6 x x + 56 x = 1 x x x + 7 x x + 3 x x + 21 x

    
        x≈-5.284278 , 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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