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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.
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
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Work: Find the solution of equation 30*((2019*25-24x)/19*(x+(2019*25-24x)/19-2019)-6*(x+(2019*25-24x)/19-2019)-5*(2019*25-24x)/19 ) = 2019 .
Question type: Equation
Solution:Original question:
| 30 | ( | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | × | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 6 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 5 | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | ) | = | 2019 |
| Left side of the equation = | 30 | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | × | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 30 | × | 6 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 30 | × | 5 | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 |
| = | 30 19 | ( | 2019 | × | 25 | − | 24 | x | ) | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 180 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 150 19 | ( | 2019 | × | 25 | − | 24 | x | ) |
| = | 30 19 | × | 2019 | × | 25 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 30 19 | × | 24 | x | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 180 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 150 19 | ( | 2019 | × | 25 | − | 24 | x | ) |
| = | 1514250 19 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 720 19 | x | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 180 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 150 19 | ( | 2019 | × | 25 | − | 24 | x | ) |
| = | 1514250 19 | x | + | 1514250 19 | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 1514250 19 | × | 2019 | − | 720 19 | x | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 180 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) |
| = | 1514250 19 | x | + | 1514250 361 | ( | 2019 | × | 25 | − | 24 | x | ) | − | 3057270750 19 | − | 720 19 | x | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 180 | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) | − | 150 19 | ( | 2019 | × | 25 | − | 24 | x | ) |
| = | 1514250 19 | x | + | 1514250 361 | × | 2019 | × | 25 | − | 1514250 361 | × | 24 | x | − | 3057270750 19 | − | 720 19 | x | ( | x | + | ( | 2019 | × | 25 | − | 24 | x | ) | ÷ | 19 | − | 2019 | ) |
the solutions is:
x≈2097.419616 , keep 6 decimal places
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》