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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 300+700(x/(x+100)) = 1000((x-90)/(x+10)) .
    Question type: Equation
    Solution:Original question:
     300 + 700( x ÷ ( x + 100)) = 1000(( x - 90) ÷ ( x + 10))
    Remove a bracket on the left of the equation::
     300 + 700 x ÷ ( x + 100) = 1000(( x - 90) ÷ ( x + 10))
    Remove a bracket on the right of the equation::
     300 + 700 x ÷ ( x + 100) = 1000( x - 90) ÷ ( x + 10)
     Multiply both sides of the equation by:( x + 100) ,  ( x + 10)
     300( x + 100)( x + 10) + 700 x ( x + 10) = 1000( x - 90)( x + 100)
    Remove a bracket on the left of the equation:
     300 x ( x + 10) + 300 × 100( x + 10) + 700 x ( x + 10) = 1000( x - 90)( x + 100)
    Remove a bracket on the right of the equation::
     300 x ( x + 10) + 300 × 100( x + 10) + 700 x ( x + 10) = 1000 x ( x + 100) - 1000 × 90( x + 100)
    The equation is reduced to :
     300 x ( x + 10) + 30000( x + 10) + 700 x ( x + 10) = 1000 x ( x + 100) - 90000( x + 100)
    Remove a bracket on the left of the equation:
     300 x x + 300 x × 10 + 30000( x + 10) + 700 x ( x + 10) = 1000 x ( x + 100) - 90000( x + 100)
    Remove a bracket on the right of the equation::
     300 x x + 300 x × 10 + 30000( x + 10) + 700 x ( x + 10) = 1000 x x + 1000 x × 100 - 90000( x + 100)
    The equation is reduced to :
     300 x x + 3000 x + 30000( x + 10) + 700 x ( x + 10) = 1000 x x + 100000 x - 90000( x + 100)
    Remove a bracket on the left of the equation:
     300 x x + 3000 x + 30000 x + 30000 × 10 + 700 x ( x + 10) = 1000 x x + 100000 x - 90000( x + 100)
    Remove a bracket on the right of the equation::
     300 x x + 3000 x + 30000 x + 30000 × 10 + 700 x ( x + 10) = 1000 x x + 100000 x - 90000 x - 90000 × 100
    The equation is reduced to :
     300 x x + 3000 x + 30000 x + 300000 + 700 x ( x + 10) = 1000 x x + 100000 x - 90000 x - 9000000
    The equation is reduced to :
     300 x x + 33000 x + 300000 + 700 x ( x + 10) = 1000 x x + 10000 x - 9000000
    Remove a bracket on the left of the equation:
     300 x x + 33000 x + 300000 + 700 x x + 700 x × 10 = 1000 x x + 10000 x - 9000000
    The equation is reduced to :
     300 x x + 33000 x + 300000 + 700 x x + 7000 x = 1000 x x + 10000 x - 9000000
    The equation is reduced to :
     300 x x + 40000 x + 300000 + 700 x x = 1000 x x + 10000 x - 9000000
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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