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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+800-2500-5213.15-4455.78)*(1-25%)］/［100000*0.3*0.9］ = 5% .
Question type: Equation
Solution:Original question:
| ( | ( | X | + | 800 | − | 2500 | − | 104263 20 | − | 222789 50 | ) | ( | 1 | − | 25 100 | ) | ) | ÷ | ( | 100000 | × | 3 10 | × | 9 10 | ) | = | 5 100 |
| Multiply both sides of the equation by: | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| ( | ( | X | + | 800 | − | 2500 | − | 104263 20 | − | 222789 50 | ) | ( | 1 | − | 25 100 | ) | ) | = | 5 100 | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| ( | X | + | 800 | − | 2500 | − | 104263 20 | − | 222789 50 | ) | ( | 1 | − | 25 100 | ) | = | 5 100 | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| ( | X | + | 800 | − | 2500 | − | 104263 20 | − | 222789 50 | ) | ( | 1 | − | 25 100 | ) | = | 5 100 | × | 100000 | × | 3 10 | × | 9 10 |
| ( | X | + | 800 | − | 2500 | − | 104263 20 | − | 222789 50 | ) | ( | 1 | − | 25 100 | ) | = | 1350 |
| X | ( | 1 | − | 25 100 | ) | + | 800 | ( | 1 | − | 25 100 | ) | − | 2500 | ( | 1 | − | 25 100 | ) | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
| X | × | 1 | − | X | × | 25 100 | + | 800 | ( | 1 | − | 25 100 | ) | − | 2500 | ( | 1 | − | 25 100 | ) | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | + | 800 | ( | 1 | − | 25 100 | ) | − | 2500 | ( | 1 | − | 25 100 | ) | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | + | 800 | × | 1 | − | 800 | × | 25 100 | − | 2500 | ( | 1 | − | 25 100 | ) | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | + | 800 | − | 200 | − | 2500 | ( | 1 | − | 25 100 | ) | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | + | 600 | − | 2500 | ( | 1 | − | 25 100 | ) | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | + | 600 | − | 2500 | × | 1 | + | 2500 | × | 25 100 | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | + | 600 | − | 2500 | + | 625 | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | − | 1275 | − | 104263 20 | ( | 1 | − | 25 100 | ) | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | − | 1275 | − | 104263 20 | × | 1 | + | 104263 20 | × | 25 100 | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | − | 1275 | − | 104263 20 | + | 104263 80 | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | − | 414789 80 | − | 222789 50 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | X | − | 414789 80 | − | 222789 50 | × | 1 | + | 222789 50 | × | 25 100 | = | 1350 |
3 4 | X | − | 414789 80 | − | 222789 50 | + | 222789 200 | = | 1350 |
3 4 | X | − | 3410679 400 | = | 1350 |
Transposition :
3 4 | X | = | 1350 | + | 3410679 400 |
Combine the items on the right of the equation:
3 4 | X | = | 3950679 400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3950679 400 | ÷ | 3 4 |
| = | 3950679 400 | × | 4 3 |
| = | 1316893 100 | × | 1 |
We obtained :
| X | = | 1316893 100 |
Convert the result to decimal form :
| X | = | 13168.93 |