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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 （32.135-30）:（60-32.135） = （x-0.700）:(0.637-x) .
Question type: Equation
Solution:Original question:
| ( | 6427 200 | − | 30 | ) | ÷ | ( | 60 | − | 6427 200 | ) | = | ( | x | − | 7 10 | ) | ÷ | ( | 637 1000 | − | x | ) |
| Multiply both sides of the equation by: | ( | 60 | − | 6427 200 | ) | , | ( | 637 1000 | − | x | ) |
| ( | 6427 200 | − | 30 | ) | ( | 637 1000 | − | x | ) | = | ( | x | − | 7 10 | ) | ( | 60 | − | 6427 200 | ) |
6427 200 | ( | 637 1000 | − | x | ) | − | 30 | ( | 637 1000 | − | x | ) | = | ( | x | − | 7 10 | ) | ( | 60 | − | 6427 200 | ) |
6427 200 | ( | 637 1000 | − | x | ) | − | 30 | ( | 637 1000 | − | x | ) | = | x | ( | 60 | − | 6427 200 | ) | − | 7 10 | ( | 60 | − | 6427 200 | ) |
6427 200 | × | 637 1000 | − | 6427 200 | x | − | 30 | ( | 637 1000 | − | x | ) | = | x | ( | 60 | − | 6427 200 | ) | − | 7 10 | ( | 60 | − | 6427 200 | ) |
6427 200 | × | 637 1000 | − | 6427 200 | x | − | 30 | ( | 637 1000 | − | x | ) | = | x | × | 60 | − | x | × | 6427 200 | − | 7 10 | ( | 60 | − | 6427 200 | ) |
4093999 200000 | − | 6427 200 | x | − | 30 | ( | 637 1000 | − | x | ) | = | x | × | 60 | − | x | × | 6427 200 | − | 7 10 | ( | 60 | − | 6427 200 | ) |
4093999 200000 | − | 6427 200 | x | − | 30 | ( | 637 1000 | − | x | ) | = | 5573 200 | x | − | 7 10 | ( | 60 | − | 6427 200 | ) |
4093999 200000 | − | 6427 200 | x | − | 30 | × | 637 1000 | + | 30 | x | = | 5573 200 | x | − | 7 10 | ( | 60 | − | 6427 200 | ) |
4093999 200000 | − | 6427 200 | x | − | 30 | × | 637 1000 | + | 30 | x | = | 5573 200 | x | − | 7 10 | × | 60 | + | 7 10 | × | 6427 200 |
4093999 200000 | − | 6427 200 | x | − | 1911 100 | + | 30 | x | = | 5573 200 | x | − | 42 | + | 44989 2000 |
271999 200000 | − | 427 200 | x | = | 5573 200 | x | − | 39011 2000 |
Transposition :
| - | 427 200 | x | − | 5573 200 | x | = | - | 39011 2000 | − | 271999 200000 |
Combine the items on the left of the equation:
| - | 30 | x | = | - | 39011 2000 | − | 271999 200000 |
Combine the items on the right of the equation:
| - | 30 | x | = | - | 4173099 200000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4173099 200000 | = | 30 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| 30 | x | = | 4173099 200000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4173099 200000 | ÷ | 30 |
| = | 4173099 200000 | × | 1 30 |
| = | 1391033 200000 | × | 1 10 |
We obtained :
| x | = | 1391033 2000000 |
Convert the result to decimal form :
| x | = | 0.695516 |