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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 (1-1000*x)*(0.8+800*x) = (4-500*x)*(0.9-800*x) .
    Question type: Equation
    Solution:Original question:
     (11000 x )(
4
5
+ 800 x ) = (4500 x )(
9
10
800 x )
    Remove the bracket on the left of the equation:
     Left side of the equation = 1(
4
5
+ 800 x )1000 x (
4
5
+ 800 x )
                                             = 1 ×
4
5
+ 1 × 800 x 1000 x (
4
5
+ 800 x )
                                             =
4
5
+ 800 x 1000 x (
4
5
+ 800 x )
                                             =
4
5
+ 800 x 1000 x ×
4
5
1000 x × 800 x
                                             =
4
5
+ 800 x 800 x 800000 x x
                                             =
4
5
+ 0 x 800000 x x
    The equation is transformed into :
     
4
5
+ 0 x 800000 x x = (4500 x )(
9
10
800 x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 4(
9
10
800 x )500 x (
9
10
800 x )
                                               = 4 ×
9
10
4 × 800 x 500 x (
9
10
800 x )
                                               =
18
5
3200 x 500 x (
9
10
800 x )
                                               =
18
5
3200 x 500 x ×
9
10
+ 500 x × 800 x
                                               =
18
5
3200 x 450 x + 400000 x x
                                               =
18
5
3650 x + 400000 x x
    The equation is transformed into :
     
4
5
800000 x x =
18
5
3650 x + 400000 x x
    This equation has no real solution!


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