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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 (X-4)*(200+20*(10-X)/0.1) = 2400 .
    Question type: Equation
    Solution:Original question:
     ( X 4)(200 + 20(10 X ) ÷
1
10
) = 2400
    Remove the bracket on the left of the equation:
     Left side of the equation = X (200 + 20(10 X ) ÷
1
10
)4(200 + 20(10 X ) ÷
1
10
)
                                             = X × 200 + X × 20(10 X ) ÷
1
10
4(200 + 20(10 X ) ÷
1
10
)
                                             = X × 200 + X × 200(10 X )4(200 + 20(10 X ) ÷
1
10
)
                                             = 200 X + X × 200 × 10 X × 200 X 4(200 + 20(10 X ) ÷
1
10
)
                                             = 200 X + X × 2000 X × 200 X 4(200 + 20(10 X ) ÷
1
10
)
                                             = 2200 X X × 200 X 4(200 + 20(10 X ) ÷
1
10
)
                                             = 2200 X X × 200 X 4 × 2004 × 20(10 X ) ÷
1
10
                                             = 2200 X X × 200 X 800800(10 X )
                                             = 2200 X X × 200 X 800800 × 10 + 800 X
                                             = 2200 X X × 200 X 8008000 + 800 X
                                             = 3000 X X × 200 X 8800
    The equation is transformed into :
     3000 X X × 200 X 8800 = 2400

    After the equation is converted into a general formula, it is converted into:
    ( X - 7 )( X - 8 )=0
    From
        X - 7 = 0
        X - 8 = 0

    it is concluded that::
        X1=7
        X2=8
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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