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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 （0.3839-0.0032x）×（11.5x） = （0.36645+0.00111x）×（x-5） .
Question type: Equation
Solution:Original question:
| ( | 3839 10000 | − | 2 625 | x | ) | ( | 23 2 | x | ) | = | ( | 7329 20000 | + | 111 100000 | x | ) | ( | x | − | 5 | ) |
| Left side of the equation = | 3839 10000 | ( | 23 2 | x | ) | − | 2 625 | x | ( | 23 2 | x | ) |
| = | 3839 10000 | × | 23 2 | x | − | 2 625 | x | ( | 23 2 | x | ) |
| = | 88297 20000 | x | − | 2 625 | x | ( | 23 2 | x | ) |
| = | 88297 20000 | x | − | 2 625 | x | × | 23 2 | x |
| = | 88297 20000 | x | − | 23 625 | x | x |
88297 20000 | x | − | 23 625 | x | x | = | ( | 7329 20000 | + | 111 100000 | x | ) | ( | x | − | 5 | ) |
| Right side of the equation = | 7329 20000 | ( | x | − | 5 | ) | + | 111 100000 | x | ( | x | − | 5 | ) |
| = | 7329 20000 | x | − | 7329 20000 | × | 5 | + | 111 100000 | x | ( | x | − | 5 | ) |
| = | 7329 20000 | x | − | 7329 4000 | + | 111 100000 | x | ( | x | − | 5 | ) |
| = | 7329 20000 | x | − | 7329 4000 | + | 111 100000 | x | x | − | 111 100000 | x | × | 5 |
| = | 7329 20000 | x | − | 7329 4000 | + | 111 100000 | x | x | − | 111 20000 | x |
| = | 3609 10000 | x | − | 7329 4000 | + | 111 100000 | x | x |
88297 20000 | x | − | 23 625 | x | x | = | 3609 10000 | x | − | 7329 4000 | + | 111 100000 | x | x |
The solution of the equation:
x1≈-0.450072 , keep 6 decimal places
x2≈107.386237 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》