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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 1/[3（1%/297.3）+（99-x）%/184-2（x%/228.5）] = 500 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | ( | 3 | ( | 1 100 | ÷ | 2973 10 | ) | + | ( | 99 | − | x | ) | × | 1 100 | ÷ | 184 | − | 2 | ( | x | ÷ | 457 2 | ) | ) | = | 500 |
| Multiply both sides of the equation by: | ( | 3 | ( | 1 100 | ÷ | 2973 10 | ) | + | ( | 99 | − | x | ) | × | 1 100 | ÷ | 184 | − | 2 | ( | x | ÷ | 457 2 | ) | ) |
| 1 | = | 500 | ( | 3 | ( | 1 100 | ÷ | 2973 10 | ) | + | ( | 99 | − | x | ) | × | 1 100 | ÷ | 184 | − | 2 | ( | x | ÷ | 457 2 | ) | ) |
| 1 | = | 500 | × | 3 | ( | 1 100 | ÷ | 2973 10 | ) | + | 500 | ( | 99 | − | x | ) | × | 1 100 | ÷ | 184 | − | 500 | × | 2 | ( | x | ÷ | 457 2 | ) |
| 1 | = | 1500 | ( | 1 100 | ÷ | 2973 10 | ) | + | 5 184 | ( | 99 | − | x | ) | − | 1000 | ( | x | ÷ | 457 2 | ) |
| 1 | = | 1500 | × | 1 100 | ÷ | 2973 10 | + | 5 184 | ( | 99 | − | x | ) | − | 1000 | ( | x | ÷ | 457 2 | ) |
| 1 | = | 50 991 | + | 5 184 | ( | 99 | − | x | ) | − | 1000 | ( | x | ÷ | 457 2 | ) |
| 1 | = | 50 991 | + | 5 184 | × | 99 | − | 5 184 | x | − | 1000 | ( | x | ÷ | 457 2 | ) |
| 1 | = | 50 991 | + | 495 184 | − | 5 184 | x | − | 1000 | ( | x | ÷ | 457 2 | ) |
| 1 | = | 499745 182344 | − | 5 184 | x | − | 1000 | ( | x | ÷ | 457 2 | ) |
| 1 | = | 499745 182344 | − | 5 184 | x | − | 1000 | x | ÷ | 457 2 |
| 1 | = | 499745 182344 | − | 5 184 | x | − | 2000 457 | x |
| 1 | = | 499745 182344 | − | 370285 84088 | x |
Transposition :
370285 84088 | x | = | 499745 182344 | − | 1 |
Combine the items on the right of the equation:
370285 84088 | x | = | 317401 182344 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 317401 182344 | ÷ | 370285 84088 |
| = | 317401 182344 | × | 84088 370285 |
| = | 317401 991 | × | 457 370285 |
We obtained :
| x | = | 145052257 366952435 |
Convert the result to decimal form :
| x | = | 0.395289 |