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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 3/x = 2/(x+1)+1/(x+2) .
    Question type: Equation
    Solution:Original question:
     3 ÷ x = 2 ÷ ( x + 1) + 1 ÷ ( x + 2)
     Multiply both sides of the equation by: x  ,  ( x + 1)
     3( x + 1) = 2 x + 1 ÷ ( x + 2) × x ( x + 1)
    Remove a bracket on the left of the equation::
     3 x + 3 × 1 = 2 x + 1 ÷ ( x + 2) × x ( x + 1)
    Remove a bracket on the right of the equation::
     3 x + 3 × 1 = 2 x + 1 ÷ ( x + 2) × x x + 1 ÷ ( x + 2) × x × 1
    The equation is reduced to :
     3 x + 3 = 2 x + 1 ÷ ( x + 2) × x x + 1 ÷ ( x + 2) × x
     Multiply both sides of the equation by:( x + 2)
     3 x ( x + 2) + 3( x + 2) = 2 x ( x + 2) + 1 x x + 1 x
    Remove a bracket on the left of the equation:
     3 x x + 3 x × 2 + 3( x + 2) = 2 x ( x + 2) + 1 x x + 1 x
    Remove a bracket on the right of the equation::
     3 x x + 3 x × 2 + 3( x + 2) = 2 x x + 2 x × 2 + 1 x x + 1 x
    The equation is reduced to :
     3 x x + 6 x + 3( x + 2) = 2 x x + 4 x + 1 x x + 1 x
    The equation is reduced to :
     3 x x + 6 x + 3( x + 2) = 2 x x + 5 x + 1 x x
    Remove a bracket on the left of the equation:
     3 x x + 6 x + 3 x + 3 × 2 = 2 x x + 5 x + 1 x x
    The equation is reduced to :
     3 x x + 6 x + 3 x + 6 = 2 x x + 5 x + 1 x x
    The equation is reduced to :
     3 x x + 9 x + 6 = 2 x x + 5 x + 1 x x

    
        x1=-
3
2
    
    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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