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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
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （0.343165-0.00333x）（x-5） = （9.5-x）（0.0388+0.0326x） .
Question type: Equation
Solution:Original question:
| ( | 68633 200000 | − | 333 100000 | x | ) | ( | x | − | 5 | ) | = | ( | 19 2 | − | x | ) | ( | 97 2500 | + | 163 5000 | x | ) |
| Left side of the equation = | 68633 200000 | ( | x | − | 5 | ) | − | 333 100000 | x | ( | x | − | 5 | ) |
| = | 68633 200000 | x | − | 68633 200000 | × | 5 | − | 333 100000 | x | ( | x | − | 5 | ) |
| = | 68633 200000 | x | − | 68633 40000 | − | 333 100000 | x | ( | x | − | 5 | ) |
| = | 68633 200000 | x | − | 68633 40000 | − | 333 100000 | x | x | + | 333 100000 | x | × | 5 |
| = | 68633 200000 | x | − | 68633 40000 | − | 333 100000 | x | x | + | 333 20000 | x |
| = | 71963 200000 | x | − | 68633 40000 | − | 333 100000 | x | x |
71963 200000 | x | − | 68633 40000 | − | 333 100000 | x | x | = | ( | 19 2 | − | x | ) | ( | 97 2500 | + | 163 5000 | x | ) |
| Right side of the equation = | 19 2 | ( | 97 2500 | + | 163 5000 | x | ) | − | x | ( | 97 2500 | + | 163 5000 | x | ) |
| = | 19 2 | × | 97 2500 | + | 19 2 | × | 163 5000 | x | − | x | ( | 97 2500 | + | 163 5000 | x | ) |
| = | 1843 5000 | + | 3097 10000 | x | − | x | ( | 97 2500 | + | 163 5000 | x | ) |
| = | 1843 5000 | + | 3097 10000 | x | − | x | × | 97 2500 | − | x | × | 163 5000 | x |
| = | 1843 5000 | + | 2709 10000 | x | − | x | × | 163 5000 | x |
71963 200000 | x | − | 68633 40000 | − | 333 100000 | x | x | = | 1843 5000 | + | 2709 10000 | x | − | x | × | 163 5000 | x |
The solution of the equation:
x1≈-10.093296 , keep 6 decimal places
x2≈7.055544 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》