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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+2) = 1/(1.5+x) .
    Question type: Equation
    Solution:Original question:
     2 ÷ x + 1 ÷ ( x + 2) = 1 ÷ (
3
2
+ x )
     Multiply both sides of the equation by: x  ,  (
3
2
+ x )
     2(
3
2
+ x ) + 1 ÷ ( x + 2) × x (
3
2
+ x ) = 1 x
    Remove a bracket on the left of the equation::
     2 ×
3
2
+ 2 x + 1 ÷ ( x + 2) × x (
3
2
+ x ) = 1 x
    The equation is reduced to :
     3 + 2 x + 1 ÷ ( x + 2) × x (
3
2
+ x ) = 1 x
     Multiply both sides of the equation by:( x + 2)
     3( x + 2) + 2 x ( x + 2) + 1 x (
3
2
+ x ) = 1 x ( x + 2)
    Remove a bracket on the left of the equation:
     3 x + 3 × 2 + 2 x ( x + 2) + 1 x (
3
2
+ x ) = 1 x ( x + 2)
    Remove a bracket on the right of the equation::
     3 x + 3 × 2 + 2 x ( x + 2) + 1 x (
3
2
+ x ) = 1 x x + 1 x × 2
    The equation is reduced to :
     3 x + 6 + 2 x ( x + 2) + 1 x (
3
2
+ x ) = 1 x x + 2 x
    Remove a bracket on the left of the equation:
     3 x + 6 + 2 x x + 2 x × 2 + 1 x (
3
2
+ x ) = 1 x x + 2 x
    The equation is reduced to :
     3 x + 6 + 2 x x + 4 x + 1 x (
3
2
+ x ) = 1 x x + 2 x
    The equation is reduced to :
     7 x + 6 + 2 x x + 1 x (
3
2
+ x ) = 1 x x + 2 x
    Remove a bracket on the left of the equation:
     7 x + 6 + 2 x x + 1 x ×
3
2
+ 1 x x = 1 x x + 2 x
    The equation is reduced to :
     7 x + 6 + 2 x x +
3
2
x + 1 x x = 1 x x + 2 x
    The equation is reduced to :
     
17
2
x + 6 + 2 x x + 1 x x = 1 x x + 2 x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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