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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+345811.85-45000)*0.25-31920 = x+42982.77 .
Question type: Equation
Solution:Original question:
| ( | x | + | 6916237 20 | − | 45000 | ) | × | 1 4 | − | 31920 | = | x | + | 4298277 100 |
| Left side of the equation = | x | × | 1 4 | + | 6916237 20 | × | 1 4 | − | 45000 | × | 1 4 | − | 31920 |
| = | x | × | 1 4 | + | 6916237 80 | − | 11250 | − | 31920 |
| = | 1 4 | x | + | 3462637 80 |
1 4 | x | + | 3462637 80 | = | x | + | 4298277 100 |
Transposition :
1 4 | x | − | x | = | 4298277 100 | − | 3462637 80 |
Combine the items on the left of the equation:
| - | 3 4 | x | = | 4298277 100 | − | 3462637 80 |
Combine the items on the right of the equation:
| - | 3 4 | x | = | - | 120077 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
120077 400 | = | 3 4 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
3 4 | x | = | 120077 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 120077 400 | ÷ | 3 4 |
| = | 120077 400 | × | 4 3 |
| = | 120077 100 | × | 1 3 |
We obtained :
| x | = | 120077 300 |
Convert the result to decimal form :
| x | = | 400.256667 |