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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 330*510*(1/(330-x)-1/(330+x) ) = 3 .
    Question type: Equation
    Solution:Original question:
     330 × 510(1 ÷ (330 x )1 ÷ (330 + x )) = 3
    Remove a bracket on the left of the equation::
     330 × 510 × 1 ÷ (330 x )330 × 510 × 1 ÷ (330 + x ) = 3
    The equation is reduced to :
     168300 ÷ (330 x )168300 ÷ (330 + x ) = 3
     Multiply both sides of the equation by:(330 x )
     168300168300 ÷ (330 + x ) × (330 x ) = 3(330 x )
    Remove a bracket on the left of the equation:
     168300168300 ÷ (330 + x ) × 330 + 168300 ÷ (330 + x ) × x = 3(330 x )
    Remove a bracket on the right of the equation::
     168300168300 ÷ (330 + x ) × 330 + 168300 ÷ (330 + x ) × x = 3 × 3303 x
    The equation is reduced to :
     16830055539000 ÷ (330 + x ) + 168300 ÷ (330 + x ) × x = 9903 x
     Multiply both sides of the equation by:(330 + x )
     168300(330 + x )55539000 + 168300 x = 990(330 + x )3 x (330 + x )
    Remove a bracket on the left of the equation:
     168300 × 330 + 168300 x 55539000 + 168300 x = 990(330 + x )3 x (330 + x )
    Remove a bracket on the right of the equation::
     168300 × 330 + 168300 x 55539000 + 168300 x = 990 × 330 + 990 x 3 x (330 + x )
    The equation is reduced to :
     55539000 + 168300 x 55539000 + 168300 x = 326700 + 990 x 3 x (330 + x )
    The equation is reduced to :
     0 + 336600 x = 326700 + 990 x 3 x (330 + x )
    Remove a bracket on the right of the equation::
     336600 x = 326700 + 990 x 3 x × 3303 x x
    The equation is reduced to :
     336600 x = 326700 + 990 x 990 x 3 x x
    The equation is reduced to :
     336600 x = 326700 + 0 x 3 x x

    
        x≈0.970580 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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