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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)-700*0.037/12*2-(X+700)*3/10000-(X-700)*0.13*0.12 = 0 .
Question type: Equation
Solution:Original question:
| ( | X | − | 700 | ) | − | 700 | × | 37 1000 | ÷ | 12 | × | 2 | − | ( | X | + | 700 | ) | × | 3 | ÷ | 10000 | − | ( | X | − | 700 | ) | × | 13 100 | × | 3 25 | = | 0 |
| Left side of the equation = | ( | X | − | 700 | ) | − | 259 60 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| ( | X | − | 700 | ) | − | 259 60 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 | = | 0 |
| Left side of the equation = | X | − | 700 | − | 259 60 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 42259 60 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 42259 60 | − | X | × | 3 10000 | − | 700 | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 42259 60 | − | X | × | 3 10000 | − | 21 100 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 105679 150 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 105679 150 | − | X | × | 39 2500 | + | 700 | × | 39 2500 |
| = | 9997 10000 | X | − | 105679 150 | − | X | × | 39 2500 | + | 273 25 |
| = | 9841 10000 | X | − | 104041 150 |
9841 10000 | X | − | 104041 150 | = | 0 |
Transposition :
9841 10000 | X | = | 0 | + | 104041 150 |
Combine the items on the right of the equation:
9841 10000 | X | = | 104041 150 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 104041 150 | ÷ | 9841 10000 |
| = | 104041 150 | × | 10000 9841 |
| = | 104041 3 | × | 200 9841 |
We obtained :
| X | = | 20808200 29523 |
Convert the result to decimal form :
| X | = | 704.813196 |