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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 (x+20)/x-3(x+20)/(x+45) = 1 .
    Question type: Equation
    Solution:Original question:
     ( x + 20) ÷ x 3( x + 20) ÷ ( x + 45) = 1
     Multiply both sides of the equation by: x
     ( x + 20)3( x + 20) ÷ ( x + 45) × x = 1 x
    Remove a bracket on the left of the equation::
      x + 203( x + 20) ÷ ( x + 45) × x = 1 x
     Multiply both sides of the equation by:( x + 45)
      x ( x + 45) + 20( x + 45)3( x + 20) x = 1 x ( x + 45)
    Remove a bracket on the left of the equation:
      x x + x × 45 + 20( x + 45)3( x + 20) x = 1 x ( x + 45)
    Remove a bracket on the right of the equation::
      x x + x × 45 + 20( x + 45)3( x + 20) x = 1 x x + 1 x × 45
    The equation is reduced to :
      x x + x × 45 + 20( x + 45)3( x + 20) x = 1 x x + 45 x
    Remove a bracket on the left of the equation:
      x x + 45 x + 20 x + 20 × 453( x + 20) x = 1 x x + 45 x
    The equation is reduced to :
      x x + 45 x + 20 x + 9003( x + 20) x = 1 x x + 45 x
    The equation is reduced to :
      x x + 65 x + 9003( x + 20) x = 1 x x + 45 x
    Remove a bracket on the left of the equation:
      x x + 65 x + 9003 x x 3 × 20 x = 1 x x + 45 x
    The equation is reduced to :
      x x + 65 x + 9003 x x 60 x = 1 x x + 45 x
    The equation is reduced to :
      x x + 5 x + 9003 x x = 1 x x + 45 x

    The solution of the equation:
        x1≈-25.225881 , keep 6 decimal places
        x2≈11.892548 , 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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