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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 470.6 = 13.8*435x*（780-0.5x）+13.8*(1000-435)*130*(780-0.5*130) .
    Question type: Equation
    Solution:Original question:
     
2353
5
 =
69
5
 × 435 x (780 −
1
2
 x ) +
69
5
(1000 − 435) × 130(780 −
1
2
 × 130)
     Right side of the equation = 6003 x (780 −
1
2
 x ) + 1794(1000 − 435)(780 −
1
2
 × 130)
    The equation is transformed into :
     
2353
5
 = 6003 x (780 −
1
2
 x ) + 1794(1000 − 435)(780 −
1
2
 × 130)
    Remove the bracket on the right of the equation:
     Right side of the equation = 6003 x × 780 − 6003 x ×
1
2
 x + 1794(1000 − 435)(780 −
1
2
 × 130)
                                               = 4682340 x −
6003
2
 x x + 1794(1000 − 435)(780 −
1
2
 × 130)
                                               = 4682340 x −
6003
2
 x x + 1794 × 1000(780 −
1
2
 × 130) − 1794 × 435(780 −
1
2
 × 130)
                                               = 4682340 x −
6003
2
 x x + 1794000(780 −
1
2
 × 130) − 780390(780 −
1
2
 × 130)
                                               = 4682340 x −
6003
2
 x x + 1794000 × 780 − 1794000 ×
1
2
 × 130 − 780390(780 −
1
2
 × 130)
                                               = 4682340 x −
6003
2
 x x + 1399320000 − 116610000 − 780390(780 −
1
2
 × 130)
                                               = 4682340 x −
6003
2
 x x + 1282710000 − 780390(780 −
1
2
 × 130)
                                               = 4682340 x −
6003
2
 x x + 1282710000 − 780390 × 780 + 780390 ×
1
2
 × 130
                                               = 4682340 x −
6003
2
 x x + 1282710000 − 608704200 + 50725350
                                               = 4682340 x −
6003
2
 x x + 724731150
    The equation is transformed into :
     
2353
5
 = 4682340 x −
6003
2
 x x + 724731150

    
        x=0, it is the incremental root of the eqution.    
    There are 1 solution(s).
    There is(are) 1 additive root(s) and 0 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)


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