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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-3) = -x/(3-x)-2 .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x − 3) = - x ÷ (3 − x ) − 2
     Multiply both sides of the equation by:( x − 3) ,  (3 − x )
     1(3 − x ) = - x ( x − 3) − 2( x − 3)(3 − x )
    Remove a bracket on the left of the equation::
     1 × 3 − 1 x = - x ( x − 3) − 2( x − 3)(3 − x )
    Remove a bracket on the right of the equation::
     1 × 3 − 1 x = - x x + x × 3 − 2( x − 3)(3 − x )
    The equation is reduced to :
     3 − 1 x = - x x + x × 3 − 2( x − 3)(3 − x )
    Remove a bracket on the right of the equation::
     3 − 1 x = - x x + 3 x − 2 x (3 − x ) + 2 × 3(3 − x )
    The equation is reduced to :
     3 − 1 x = - x x + 3 x − 2 x (3 − x ) + 6(3 − x )
    Remove a bracket on the right of the equation::
     3 − 1 x = - x x + 3 x − 2 x × 3 + 2 x x + 6(3 − x )
    The equation is reduced to :
     3 − 1 x = - x x + 3 x − 6 x + 2 x x + 6(3 − x )
    The equation is reduced to :
     3 − 1 x = - x x − 3 x + 2 x x + 6(3 − x )
    Remove a bracket on the right of the equation::
     3 − 1 x = - x x − 3 x + 2 x x + 6 × 3 − 6 x
    The equation is reduced to :
     3 − 1 x = - x x − 3 x + 2 x x + 18 − 6 x
    The equation is reduced to :
     3 − 1 x = - x x − 9 x + 2 x x + 18

    
        x1=5
    
    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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