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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 (32.135-20)÷（40-32.135） = (x-1.005)÷(1.078-x) .
Question type: Equation
Solution:Original question:
| ( | 6427 200 | − | 20 | ) | ÷ | ( | 40 | − | 6427 200 | ) | = | ( | x | − | 201 200 | ) | ÷ | ( | 539 500 | − | x | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 6427 200 | ) | , | ( | 539 500 | − | x | ) |
| ( | 6427 200 | − | 20 | ) | ( | 539 500 | − | x | ) | = | ( | x | − | 201 200 | ) | ( | 40 | − | 6427 200 | ) |
6427 200 | ( | 539 500 | − | x | ) | − | 20 | ( | 539 500 | − | x | ) | = | ( | x | − | 201 200 | ) | ( | 40 | − | 6427 200 | ) |
6427 200 | ( | 539 500 | − | x | ) | − | 20 | ( | 539 500 | − | x | ) | = | x | ( | 40 | − | 6427 200 | ) | − | 201 200 | ( | 40 | − | 6427 200 | ) |
6427 200 | × | 539 500 | − | 6427 200 | x | − | 20 | ( | 539 500 | − | x | ) | = | x | ( | 40 | − | 6427 200 | ) | − | 201 200 | ( | 40 | − | 6427 200 | ) |
6427 200 | × | 539 500 | − | 6427 200 | x | − | 20 | ( | 539 500 | − | x | ) | = | x | × | 40 | − | x | × | 6427 200 | − | 201 200 | ( | 40 | − | 6427 200 | ) |
3464153 100000 | − | 6427 200 | x | − | 20 | ( | 539 500 | − | x | ) | = | x | × | 40 | − | x | × | 6427 200 | − | 201 200 | ( | 40 | − | 6427 200 | ) |
3464153 100000 | − | 6427 200 | x | − | 20 | ( | 539 500 | − | x | ) | = | 1573 200 | x | − | 201 200 | ( | 40 | − | 6427 200 | ) |
3464153 100000 | − | 6427 200 | x | − | 20 | × | 539 500 | + | 20 | x | = | 1573 200 | x | − | 201 200 | ( | 40 | − | 6427 200 | ) |
3464153 100000 | − | 6427 200 | x | − | 20 | × | 539 500 | + | 20 | x | = | 1573 200 | x | − | 201 200 | × | 40 | + | 201 200 | × | 6427 200 |
3464153 100000 | − | 6427 200 | x | − | 539 25 | + | 20 | x | = | 1573 200 | x | − | 201 5 | + | 1291827 40000 |
1308153 100000 | − | 2427 200 | x | = | 1573 200 | x | − | 316173 40000 |
Transposition :
| - | 2427 200 | x | − | 1573 200 | x | = | - | 316173 40000 | − | 1308153 100000 |
Combine the items on the left of the equation:
| - | 20 | x | = | - | 316173 40000 | − | 1308153 100000 |