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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） = （20000-21312.8）/（21312.8/19785.6） .
Question type: Equation
Solution:Original question:
| ( | x | − | 3 25 | ) | ÷ | ( | 7 50 | − | 3 25 | ) | = | ( | 20000 | − | 106564 5 | ) | ÷ | ( | 106564 5 | ÷ | 98928 5 | ) |
| Multiply both sides of the equation by: | ( | 7 50 | − | 3 25 | ) | , | ( | 106564 5 | ÷ | 98928 5 | ) |
| ( | x | − | 3 25 | ) | ( | 106564 5 | ÷ | 98928 5 | ) | = | ( | 20000 | − | 106564 5 | ) | ( | 7 50 | − | 3 25 | ) |
| x | ( | 106564 5 | ÷ | 98928 5 | ) | − | 3 25 | ( | 106564 5 | ÷ | 98928 5 | ) | = | ( | 20000 | − | 106564 5 | ) | ( | 7 50 | − | 3 25 | ) |
| x | ( | 106564 5 | ÷ | 98928 5 | ) | − | 3 25 | ( | 106564 5 | ÷ | 98928 5 | ) | = | 20000 | ( | 7 50 | − | 3 25 | ) | − | 106564 5 | ( | 7 50 | − | 3 25 | ) |
| x | × | 106564 5 | ÷ | 98928 5 | − | 3 25 | ( | 106564 5 | ÷ | 98928 5 | ) | = | 20000 | ( | 7 50 | − | 3 25 | ) | − | 106564 5 | ( | 7 50 | − | 3 25 | ) |
| x | × | 106564 5 | ÷ | 98928 5 | − | 3 25 | ( | 106564 5 | ÷ | 98928 5 | ) | = | 20000 | × | 7 50 | − | 20000 | × | 3 25 | − | 106564 5 | ( | 7 50 | − | 3 25 | ) |
| x | × | 26641 24732 | − | 3 25 | ( | 106564 5 | ÷ | 98928 5 | ) | = | 2800 | − | 2400 | − | 106564 5 | ( | 7 50 | − | 3 25 | ) |
26641 24732 | x | − | 3 25 | ( | 106564 5 | ÷ | 98928 5 | ) | = | 400 | − | 106564 5 | ( | 7 50 | − | 3 25 | ) |
26641 24732 | x | − | 3 25 | × | 106564 5 | ÷ | 98928 5 | = | 400 | − | 106564 5 | ( | 7 50 | − | 3 25 | ) |
26641 24732 | x | − | 3 25 | × | 106564 5 | ÷ | 98928 5 | = | 400 | − | 106564 5 | × | 7 50 | + | 106564 5 | × | 3 25 |
26641 24732 | x | − | 26641 206100 | = | 400 | − | 372974 125 | + | 319692 125 |
26641 24732 | x | − | 26641 206100 | = | - | 3282 125 |
Transposition :
26641 24732 | x | = | - | 3282 125 | + | 26641 206100 |
Combine the items on the right of the equation:
26641 24732 | x | = | - | 26923603 1030500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 26923603 1030500 | ÷ | 26641 24732 |
| = | - | 26923603 1030500 | × | 24732 26641 |
| = | - | 26923603 28625 | × | 687 26641 |
We obtained :
| x | = | - | 18496515261 762598625 |