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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 700*(1+a/100)*24+800*24*(1+2a/100)*(1+a/100) = 21600*(1+20/9*a/100) .
    Question type: Equation
    Solution:Original question:
     700(1 + a ÷ 100) × 24 + 800 × 24(1 + 2 a ÷ 100)(1 + a ÷ 100) = 21600(1 + 20 ÷ 9 × a ÷ 100)
     Left side of the equation = 16800(1 + a ÷ 100) + 19200(1 + 2 a ÷ 100)(1 + a ÷ 100)
    The equation is transformed into :
     16800(1 + a ÷ 100) + 19200(1 + 2 a ÷ 100)(1 + a ÷ 100) = 21600(1 + 20 ÷ 9 × a ÷ 100)
    Remove the bracket on the left of the equation:
     Left side of the equation = 16800 × 1 + 16800 a ÷ 100 + 19200(1 + 2 a ÷ 100)(1 + a ÷ 100)
                                             = 16800 + 168 a + 19200(1 + 2 a ÷ 100)(1 + a ÷ 100)
                                             = 16800 + 168 a + 19200 × 1(1 + a ÷ 100) + 19200 × 2 a ÷ 100 × (1 + a ÷ 100)
                                             = 16800 + 168 a + 19200(1 + a ÷ 100) + 384 a (1 + a ÷ 100)
                                             = 16800 + 168 a + 19200 × 1 + 19200 a ÷ 100 + 384 a (1 + a ÷ 100)
                                             = 16800 + 168 a + 19200 + 192 a + 384 a (1 + a ÷ 100)
                                             = 36000 + 360 a + 384 a (1 + a ÷ 100)
                                             = 36000 + 360 a + 384 a × 1 + 384 a a ÷ 100
                                             = 36000 + 360 a + 384 a +
96
25
a a
                                             = 36000 + 744 a +
96
25
a a
    The equation is transformed into :
     36000 + 744 a +
96
25
a a = 21600(1 + 20 ÷ 9 × a ÷ 100)
    Remove the bracket on the right of the equation:
     Right side of the equation = 21600 × 1 + 21600 × 20 ÷ 9 × a ÷ 100
                                               = 21600 + 480 a
    The equation is transformed into :
     36000 + 744 a +
96
25
a a = 21600 + 480 a
    This equation has no real solution!


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