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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-700)-X*0.037/12-(X+700)*6/10000-(X-700)*0.13*0.12 = 0 .
Question type: Equation
Solution:Original question:
| ( | X | − | 700 | ) | − | X | × | 37 1000 | ÷ | 12 | − | ( | X | + | 700 | ) | × | 6 | ÷ | 10000 | − | ( | X | − | 700 | ) | × | 13 100 | × | 3 25 | = | 0 |
| Left side of the equation = | ( | X | − | 700 | ) | − | X | × | 37 12000 | − | ( | X | + | 700 | ) | × | 3 5000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| ( | X | − | 700 | ) | − | 37 12000 | X | − | ( | X | + | 700 | ) | × | 3 5000 | − | ( | X | − | 700 | ) | × | 39 2500 | = | 0 |
| Left side of the equation = | X | − | 700 | − | 37 12000 | X | − | ( | X | + | 700 | ) | × | 3 5000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 11963 12000 | X | − | 700 | − | ( | X | + | 700 | ) | × | 3 5000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 11963 12000 | X | − | 700 | − | X | × | 3 5000 | − | 700 | × | 3 5000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 11963 12000 | X | − | 700 | − | X | × | 3 5000 | − | 21 50 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 59779 60000 | X | − | 35021 50 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 59779 60000 | X | − | 35021 50 | − | X | × | 39 2500 | + | 700 | × | 39 2500 |
| = | 59779 60000 | X | − | 35021 50 | − | X | × | 39 2500 | + | 273 25 |
| = | 58843 60000 | X | − | 1379 2 |
58843 60000 | X | − | 1379 2 | = | 0 |
Transposition :
58843 60000 | X | = | 0 | + | 1379 2 |
Combine the items on the right of the equation:
58843 60000 | X | = | 1379 2 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1379 2 | ÷ | 58843 60000 |
| = | 1379 2 | × | 60000 58843 |
| = | 1379 | × | 30000 58843 |
We obtained :
| X | = | 41370000 58843 |
Convert the result to decimal form :
| X | = | 703.057288 |