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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 12x/(x+2000)+0.4 = 12*(x+230)/(x+2230) .
    Question type: Equation
    Solution:Original question:
     12 x ÷ ( x + 2000) +
2
5
= 12( x + 230) ÷ ( x + 2230)
     Multiply both sides of the equation by:( x + 2000) ,  ( x + 2230)
     12 x ( x + 2230) +
2
5
( x + 2000)( x + 2230) = 12( x + 230)( x + 2000)
    Remove a bracket on the left of the equation::
     12 x x + 12 x × 2230 +
2
5
( x + 2000)( x + 2230) = 12( x + 230)( x + 2000)
    Remove a bracket on the right of the equation::
     12 x x + 12 x × 2230 +
2
5
( x + 2000)( x + 2230) = 12 x ( x + 2000) + 12 × 230( x + 2000)
    The equation is reduced to :
     12 x x + 26760 x +
2
5
( x + 2000)( x + 2230) = 12 x ( x + 2000) + 2760( x + 2000)
    Remove a bracket on the left of the equation:
     12 x x + 26760 x +
2
5
x ( x + 2230) +
2
5
× 2000( x + 2230) = 12 x ( x + 2000) + 2760( x + 2000)
    Remove a bracket on the right of the equation::
     12 x x + 26760 x +
2
5
x ( x + 2230) +
2
5
× 2000( x + 2230) = 12 x x + 12 x × 2000 + 2760( x + 2000)
    The equation is reduced to :
     12 x x + 26760 x +
2
5
x ( x + 2230) + 800( x + 2230) = 12 x x + 24000 x + 2760( x + 2000)
    Remove a bracket on the left of the equation:
     12 x x + 26760 x +
2
5
x x +
2
5
x × 2230 + 800 = 12 x x + 24000 x + 2760( x + 2000)
    Remove a bracket on the right of the equation::
     12 x x + 26760 x +
2
5
x x +
2
5
x × 2230 + 800 = 12 x x + 24000 x + 2760 x + 2760 × 2000
    The equation is reduced to :
     12 x x + 26760 x +
2
5
x x + 892 x + 800( x + 2230) = 12 x x + 24000 x + 2760 x + 5520000
    The equation is reduced to :
     12 x x + 27652 x +
2
5
x x + 800( x + 2230) = 12 x x + 26760 x + 5520000
    Remove a bracket on the left of the equation:
     12 x x + 27652 x +
2
5
x x + 800 x + 800 × 2230 = 12 x x + 26760 x + 5520000
    The equation is reduced to :
     12 x x + 27652 x +
2
5
x x + 800 x + 1784000 = 12 x x + 26760 x + 5520000
    The equation is reduced to :
     12 x x + 28452 x +
2
5
x x + 1784000 = 12 x x + 26760 x + 5520000

    the solutions is:
        x≈1601.614723 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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