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

    The solution of the equation:
        x1≈-4.664117 , keep 6 decimal places
        x2≈-0.391080 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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