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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 （1+0.02x）*1000*(1-0.01x)+2000*100*(1+0.01x)*(1-0.01x) = 1000-100+2000*150 .
    Question type: Equation
    Solution:Original question:
     (1 +
1
50
 x ) × 1000(1 −
1
100
 x ) + 2000 × 100(1 +
1
100
 x )(1 −
1
100
 x ) = 1000 − 100 + 2000 × 150
     Left side of the equation = (1 +
1
50
 x ) × 1000(1 −
1
100
 x ) + 200000(1 +
1
100
 x )(1 −
1
100
 x )
    The equation is transformed into :
     (1 +
1
50
 x ) × 1000(1 −
1
100
 x ) + 200000(1 +
1
100
 x )(1 −
1
100
 x ) = 1000 − 100 + 2000 × 150
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 × 1000(1 −
1
100
 x ) +
1
50
 x × 1000(1 −
1
100
 x ) + 200000(1 +
1
100
 x )(1 −
1
100
 x )
                                             = 1000(1 −
1
100
 x ) + 20 x (1 −
1
100
 x ) + 200000(1 +
1
100
 x )(1 −
1
100
 x )
                                             = 1000 × 1 − 1000 ×
1
100
 x + 20 x (1 −
1
100
 x ) + 200000(1 +
1
100
 x )(1 −
1
100
 x )
                                             = 1000 − 10 x + 20 x (1 −
1
100
 x ) + 200000(1 +
1
100
 x )(1 −
1
100
 x )
                                             = 1000 − 10 x + 20 x × 1 − 20 x ×
1
100
 x + 200000(1 +
1
100
 x )
                                             = 1000 − 10 x + 20 x −
1
5
 x x + 200000(1 +
1
100
 x )(1 −
1
100
 x )
                                             = 1000 + 10 x −
1
5
 x x + 200000(1 +
1
100
 x )(1 −
1
100
 x )
                                             = 1000 + 10 x −
1
5
 x x + 200000 × 1(1 −
1
100
 x ) + 200000 ×
1
100
 x
                                             = 1000 + 10 x −
1
5
 x x + 200000(1 −
1
100
 x ) + 2000 x (1 −
1
100
 x )
                                             = 1000 + 10 x −
1
5
 x x + 200000 × 1 − 200000 ×
1
100
 x + 2000
                                             = 1000 + 10 x −
1
5
 x x + 200000 − 2000 x + 2000 x (1 −
1
100
 x )
                                             = 201000 − 1990 x −
1
5
 x x + 2000 x (1 −
1
100
 x )
                                             = 201000 − 1990 x −
1
5
 x x + 2000 x × 1 − 2000 x ×
1
100
                                             = 201000 − 1990 x −
1
5
 x x + 2000 x − 20 x x
                                             = 201000 + 10 x −
1
5
 x x − 20 x x
    The equation is transformed into :
     201000 + 10 x −
1
5
 x x − 20 x x = 1000 − 100 + 2000 × 150
     Right side of the equation = 1000 − 100 + 300000
                                               = 300900
    The equation is transformed into :
     201000 + 10 x −
1
5
 x x − 20 x x = 300900
    This equation has no real solution!


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