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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 （x-0.12）/（0.14-0.12） = （0-3.572）/（-1.256-3.572） .
Question type: Equation
Solution:Original question:
| ( | x | − | 3 25 | ) | ÷ | ( | 7 50 | − | 3 25 | ) | = | ( | 0 | − | 893 250 | ) | ÷ | ( | - | 157 125 | − | 893 250 | ) |
| Multiply both sides of the equation by: | ( | 7 50 | − | 3 25 | ) | , | ( | - | 157 125 | − | 893 250 | ) |
| ( | x | − | 3 25 | ) | ( | - | 157 125 | − | 893 250 | ) | = | ( | 0 | − | 893 250 | ) | ( | 7 50 | − | 3 25 | ) |
| x | ( | - | 157 125 | − | 893 250 | ) | − | 3 25 | ( | - | 157 125 | − | 893 250 | ) | = | ( | 0 | − | 893 250 | ) | ( | 7 50 | − | 3 25 | ) |
| x | ( | - | 157 125 | − | 893 250 | ) | − | 3 25 | ( | - | 157 125 | − | 893 250 | ) | = | 0 | ( | 7 50 | − | 3 25 | ) | − | 893 250 | ( | 7 50 | − | 3 25 | ) |
| - | x | × | 157 125 | − | x | × | 893 250 | − | 3 25 | ( | - | 157 125 | − | 893 250 | ) | = | 0 | ( | 7 50 | − | 3 25 | ) | − | 893 250 | ( | 7 50 | − | 3 25 | ) |
| - | x | × | 157 125 | − | x | × | 893 250 | − | 3 25 | ( | - | 157 125 | − | 893 250 | ) | = | 0 | × | 7 50 | − | 0 | × | 3 25 | − | 893 250 | ( | 7 50 | − | 3 25 | ) |
| - | x | × | 157 125 | − | x | × | 893 250 | − | 3 25 | ( | - | 157 125 | − | 893 250 | ) | = | 0 | − | 0 | − | 893 250 | ( | 7 50 | − | 3 25 | ) |
| - | 1207 250 | x | − | 3 25 | ( | - | 157 125 | − | 893 250 | ) | = | 0 | − | 893 250 | ( | 7 50 | − | 3 25 | ) |
| - | 1207 250 | x | + | 3 25 | × | 157 125 | + | 3 25 | × | 893 250 | = | - | 893 250 | ( | 7 50 | − | 3 25 | ) |
| - | 1207 250 | x | + | 3 25 | × | 157 125 | + | 3 25 | × | 893 250 | = | - | 893 250 | × | 7 50 | + | 893 250 | × | 3 25 |
| - | 1207 250 | x | + | 471 3125 | + | 2679 6250 | = | - | 6251 12500 | + | 2679 6250 |
| - | 1207 250 | x | + | 3621 6250 | = | - | 893 12500 |
Transposition :
| - | 1207 250 | x | = | - | 893 12500 | − | 3621 6250 |
Combine the items on the right of the equation:
| - | 1207 250 | x | = | - | 1627 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1627 2500 | = | 1207 250 | 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 :
1207 250 | x | = | 1627 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1627 2500 | ÷ | 1207 250 |
| = | 1627 2500 | × | 250 1207 |
| = | 1627 10 | × | 1 1207 |
We obtained :
| x | = | 1627 12070 |
Convert the result to decimal form :
| x | = | 0.134797 |