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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
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Work: Find the solution of equation （x+800-12618.93）*（1-25%）/（100000*0.3*0.9） = 5% .
Question type: Equation
Solution:Original question:
| ( | x | + | 800 | − | 1261893 100 | ) | ( | 1 | − | 25 100 | ) | ÷ | ( | 100000 | × | 3 10 | × | 9 10 | ) | = | 5 100 |
| Multiply both sides of the equation by: | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| ( | x | + | 800 | − | 1261893 100 | ) | ( | 1 | − | 25 100 | ) | = | 5 100 | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| x | ( | 1 | − | 25 100 | ) | + | 800 | ( | 1 | − | 25 100 | ) | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 5 100 | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| x | ( | 1 | − | 25 100 | ) | + | 800 | ( | 1 | − | 25 100 | ) | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 5 100 | × | 100000 | × | 3 10 | × | 9 10 |
| x | ( | 1 | − | 25 100 | ) | + | 800 | ( | 1 | − | 25 100 | ) | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 1350 |
| x | × | 1 | − | x | × | 25 100 | + | 800 | ( | 1 | − | 25 100 | ) | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | x | + | 800 | ( | 1 | − | 25 100 | ) | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | x | + | 800 | × | 1 | − | 800 | × | 25 100 | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | x | + | 800 | − | 200 | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | x | + | 600 | − | 1261893 100 | ( | 1 | − | 25 100 | ) | = | 1350 |
3 4 | x | + | 600 | − | 1261893 100 | × | 1 | + | 1261893 100 | × | 25 100 | = | 1350 |
3 4 | x | + | 600 | − | 1261893 100 | + | 1261893 400 | = | 1350 |
3 4 | x | − | 3545679 400 | = | 1350 |
Transposition :
3 4 | x | = | 1350 | + | 3545679 400 |
Combine the items on the right of the equation:
3 4 | x | = | 4085679 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4085679 400 | ÷ | 3 4 |
| = | 4085679 400 | × | 4 3 |
| = | 1361893 100 | × | 1 |
We obtained :
| x | = | 1361893 100 |
Convert the result to decimal form :
| x | = | 13618.93 |