Mathematics
         
语言:中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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+6) = 1/(x+4) .
    Question type: Equation
    Solution:Original question:
     (2 ÷ x ) + 1 ÷ ( x + 6) = 1 ÷ ( x + 4)
     Multiply both sides of the equation by:( x + 6) ,  ( x + 4)
     (2 ÷ x )( x + 6)( x + 4) + 1( x + 4) = 1( x + 6)
    Remove a bracket on the left of the equation::
     2 ÷ x × ( x + 6)( x + 4) + 1( x + 4) = 1( x + 6)
    Remove a bracket on the right of the equation::
     2 ÷ x × ( x + 6)( x + 4) + 1( x + 4) = 1 x + 1 × 6
    The equation is reduced to :
     2 ÷ x × ( x + 6)( x + 4) + 1( x + 4) = 1 x + 6
     Multiply both sides of the equation by: x
     2( x + 6)( x + 4) + 1( x + 4) x = 1 x x + 6 x
    Remove a bracket on the left of the equation:
     2 x ( x + 4) + 2 × 6( x + 4) + 1( x + 4) x = 1 x x + 6 x
    The equation is reduced to :
     2 x ( x + 4) + 12( x + 4) + 1( x + 4) x = 1 x x + 6 x
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 4 + 12( x + 4) + 1( x + 4) x = 1 x x + 6 x
    The equation is reduced to :
     2 x x + 8 x + 12( x + 4) + 1( x + 4) x = 1 x x + 6 x
    Remove a bracket on the left of the equation:
     2 x x + 8 x + 12 x + 12 × 4 + 1( x + 4) x = 1 x x + 6 x
    The equation is reduced to :
     2 x x + 8 x + 12 x + 48 + 1( x + 4) x = 1 x x + 6 x
    The equation is reduced to :
     2 x x + 20 x + 48 + 1( x + 4) x = 1 x x + 6 x
    Remove a bracket on the left of the equation:
     2 x x + 20 x + 48 + 1 x x + 1 × 4 x = 1 x x + 6 x
    The equation is reduced to :
     2 x x + 20 x + 48 + 1 x x + 4 x = 1 x x + 6 x
    The equation is reduced to :
     2 x x + 24 x + 48 + 1 x x = 1 x x + 6 x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。