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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-800)-800*0.037/12-(X+800)*3/10000-(X-800)*0.13*0.12 = 0 .
Question type: Equation
Solution:Original question:
| ( | X | − | 800 | ) | − | 800 | × | 37 1000 | ÷ | 12 | − | ( | X | + | 800 | ) | × | 3 | ÷ | 10000 | − | ( | X | − | 800 | ) | × | 13 100 | × | 3 25 | = | 0 |
| Left side of the equation = | ( | X | − | 800 | ) | − | 37 15 | − | ( | X | + | 800 | ) | × | 3 10000 | − | ( | X | − | 800 | ) | × | 39 2500 |
| ( | X | − | 800 | ) | − | 37 15 | − | ( | X | + | 800 | ) | × | 3 10000 | − | ( | X | − | 800 | ) | × | 39 2500 | = | 0 |
| Left side of the equation = | X | − | 800 | − | 37 15 | − | ( | X | + | 800 | ) | × | 3 10000 | − | ( | X | − | 800 | ) | × | 39 2500 |
| = | X | − | 12037 15 | − | ( | X | + | 800 | ) | × | 3 10000 | − | ( | X | − | 800 | ) | × | 39 2500 |
| = | X | − | 12037 15 | − | X | × | 3 10000 | − | 800 | × | 3 10000 | − | ( | X | − | 800 | ) | × | 39 2500 |
| = | X | − | 12037 15 | − | X | × | 3 10000 | − | 6 25 | − | ( | X | − | 800 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 60203 75 | − | ( | X | − | 800 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 60203 75 | − | X | × | 39 2500 | + | 800 | × | 39 2500 |
| = | 9997 10000 | X | − | 60203 75 | − | X | × | 39 2500 | + | 312 25 |
| = | 9841 10000 | X | − | 59267 75 |
9841 10000 | X | − | 59267 75 | = | 0 |
Transposition :
9841 10000 | X | = | 0 | + | 59267 75 |
Combine the items on the right of the equation:
9841 10000 | X | = | 59267 75 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 59267 75 | ÷ | 9841 10000 |
| = | 59267 75 | × | 10000 9841 |
| = | 4559 3 | × | 400 757 |
We obtained :
| X | = | 1823600 2271 |
Convert the result to decimal form :
| X | = | 802.994276 |