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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-(X+700)*3/10000-(X-700)*0.13*0.12 = 0 .
Question type: Equation
Solution:Original question:
| ( | X | − | 700 | ) | − | 700 | × | 37 1000 | ÷ | 12 | − | ( | X | + | 700 | ) | × | 3 | ÷ | 10000 | − | ( | X | − | 700 | ) | × | 13 100 | × | 3 25 | = | 0 |
| Left side of the equation = | ( | X | − | 700 | ) | − | 259 120 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| ( | X | − | 700 | ) | − | 259 120 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 | = | 0 |
| Left side of the equation = | X | − | 700 | − | 259 120 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 84259 120 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 84259 120 | − | X | × | 3 10000 | − | 700 | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 84259 120 | − | X | × | 3 10000 | − | 21 100 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 421421 600 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 421421 600 | − | X | × | 39 2500 | + | 700 | × | 39 2500 |
| = | 9997 10000 | X | − | 421421 600 | − | X | × | 39 2500 | + | 273 25 |
| = | 9841 10000 | X | − | 414869 600 |
9841 10000 | X | − | 414869 600 | = | 0 |
Transposition :
9841 10000 | X | = | 0 | + | 414869 600 |
Combine the items on the right of the equation:
9841 10000 | X | = | 414869 600 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 414869 600 | ÷ | 9841 10000 |
| = | 414869 600 | × | 10000 9841 |
| = | 31913 3 | × | 50 757 |
We obtained :
| X | = | 1595650 2271 |
Convert the result to decimal form :
| X | = | 702.619991 |