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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 (2a-240)/(a-480)+5 = 480/(a-240) .
    Question type: Equation
    Solution:Original question:
     (2 a − 240) ÷ ( a − 480) + 5 = 480 ÷ ( a − 240)
     Multiply both sides of the equation by:( a − 480) ,  ( a − 240)
     (2 a − 240)( a − 240) + 5( a − 480)( a − 240) = 480( a − 480)
    Remove a bracket on the left of the equation::
     2 a ( a − 240) − 240( a − 240) + 5( a − 480)( a − 240) = 480( a − 480)
    Remove a bracket on the right of the equation::
     2 a ( a − 240) − 240( a − 240) + 5( a − 480)( a − 240) = 480 a − 480 × 480
    The equation is reduced to :
     2 a ( a − 240) − 240( a − 240) + 5( a − 480)( a − 240) = 480 a − 230400
    Remove a bracket on the left of the equation:
     2 a a − 2 a × 240 − 240( a − 240) + 5( a − 480)( a − 240) = 480 a − 230400
    The equation is reduced to :
     2 a a − 480 a − 240( a − 240) + 5( a − 480)( a − 240) = 480 a − 230400
    Remove a bracket on the left of the equation:
     2 a a − 480 a − 240 a + 240 × 240 + 5( a − 480)( a − 240) = 480 a − 230400
    The equation is reduced to :
     2 a a − 480 a − 240 a + 57600 + 5( a − 480)( a − 240) = 480 a − 230400
    The equation is reduced to :
     2 a a − 720 a + 57600 + 5( a − 480)( a − 240) = 480 a − 230400
    Remove a bracket on the left of the equation:
     2 a a − 720 a + 57600 + 5 a ( a − 240) − 5 × 480( a − 240) = 480 a − 230400
    The equation is reduced to :
     2 a a − 720 a + 57600 + 5 a ( a − 240) − 2400( a − 240) = 480 a − 230400
    Remove a bracket on the left of the equation:
     2 a a − 720 a + 57600 + 5 a a − 5 a × 240 = 480 a − 230400
    The equation is reduced to :
     2 a a − 720 a + 57600 + 5 a a − 1200 a − 2400 = 480 a − 230400
    The equation is reduced to :
     2 a a − 1920 a + 57600 + 5 a a − 2400( a − 240) = 480 a − 230400
    Remove a bracket on the left of the equation:
     2 a a − 1920 a + 57600 + 5 a a − 2400 a + 2400 = 480 a − 230400
    The equation is reduced to :
     2 a a − 1920 a + 57600 + 5 a a − 2400 a + 576000 = 480 a − 230400
    The equation is reduced to :
     2 a a − 4320 a + 633600 + 5 a a = 480 a − 230400
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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