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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 25200÷(x+70)+8400÷(x+82) = 142 .
    Question type: Equation
    Solution:Original question:
     25200 ÷ ( x + 70) + 8400 ÷ ( x + 82) = 142
     Multiply both sides of the equation by:( x + 70)
     25200 + 8400 ÷ ( x + 82) × ( x + 70) = 142( x + 70)
    Remove a bracket on the left of the equation::
     25200 + 8400 ÷ ( x + 82) × x + 8400 ÷ ( x + 82) × 70 = 142( x + 70)
    Remove a bracket on the right of the equation::
     25200 + 8400 ÷ ( x + 82) × x + 8400 ÷ ( x + 82) × 70 = 142 x + 142 × 70
    The equation is reduced to :
     25200 + 8400 ÷ ( x + 82) × x + 588000 ÷ ( x + 82) = 142 x + 9940
     Multiply both sides of the equation by:( x + 82)
     25200( x + 82) + 8400 x + 588000 = 142 x ( x + 82) + 9940( x + 82)
    Remove a bracket on the left of the equation:
     25200 x + 25200 × 82 + 8400 x + 588000 = 142 x ( x + 82) + 9940( x + 82)
    Remove a bracket on the right of the equation::
     25200 x + 25200 × 82 + 8400 x + 588000 = 142 x x + 142 x × 82 + 9940( x + 82)
    The equation is reduced to :
     25200 x + 2066400 + 8400 x + 588000 = 142 x x + 11644 x + 9940( x + 82)
    The equation is reduced to :
     33600 x + 2654400 = 142 x x + 11644 x + 9940( x + 82)
    Remove a bracket on the right of the equation::
     33600 x + 2654400 = 142 x x + 11644 x + 9940 x + 9940 × 82
    The equation is reduced to :
     33600 x + 2654400 = 142 x x + 11644 x + 9940 x + 815080
    The equation is reduced to :
     33600 x + 2654400 = 142 x x + 21584 x + 815080

    The solution of the equation:
        x1≈-79.111234 , keep 6 decimal places
        x2≈163.730953 , 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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