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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+800-4000-5213.15）*（1-0.25）/（100000*0.3*0.9） = 0.12 .
Question type: Equation
Solution:Original question:
| ( | x | + | 800 | − | 4000 | − | 104263 20 | ) | ( | 1 | − | 1 4 | ) | ÷ | ( | 100000 | × | 3 10 | × | 9 10 | ) | = | 3 25 |
| Multiply both sides of the equation by: | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| ( | x | + | 800 | − | 4000 | − | 104263 20 | ) | ( | 1 | − | 1 4 | ) | = | 3 25 | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| x | ( | 1 | − | 1 4 | ) | + | 800 | ( | 1 | − | 1 4 | ) | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3 25 | ( | 100000 | × | 3 10 | × | 9 10 | ) |
| x | ( | 1 | − | 1 4 | ) | + | 800 | ( | 1 | − | 1 4 | ) | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3 25 | × | 100000 | × | 3 10 | × | 9 10 |
| x | ( | 1 | − | 1 4 | ) | + | 800 | ( | 1 | − | 1 4 | ) | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
| x | × | 1 | − | x | × | 1 4 | + | 800 | ( | 1 | − | 1 4 | ) | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | + | 800 | ( | 1 | − | 1 4 | ) | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | + | 800 | × | 1 | − | 800 | × | 1 4 | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | + | 800 | − | 200 | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | + | 600 | − | 4000 | ( | 1 | − | 1 4 | ) | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | + | 600 | − | 4000 | × | 1 | + | 4000 | × | 1 4 | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | + | 600 | − | 4000 | + | 1000 | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | − | 2400 | − | 104263 20 | ( | 1 | − | 1 4 | ) | = | 3240 |
3 4 | x | − | 2400 | − | 104263 20 | × | 1 | + | 104263 20 | × | 1 4 | = | 3240 |
3 4 | x | − | 2400 | − | 104263 20 | + | 104263 80 | = | 3240 |
3 4 | x | − | 504789 80 | = | 3240 |
Transposition :
3 4 | x | = | 3240 | + | 504789 80 |
Combine the items on the right of the equation:
3 4 | x | = | 763989 80 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 763989 80 | ÷ | 3 4 |
| = | 763989 80 | × | 4 3 |
| = | 254663 20 | × | 1 |
We obtained :
| x | = | 254663 20 |
Convert the result to decimal form :
| x | = | 12733.15 |