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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 ((179.92+x)*0.05+179.92+x)*0.02 = x .
Question type: Equation
Solution:Original question:
| ( | ( | 4498 25 | + | x | ) | × | 1 20 | + | 4498 25 | + | x | ) | × | 1 50 | = | x |
| Left side of the equation = | ( | 4498 25 | + | x | ) | × | 1 20 | × | 1 50 | + | 4498 25 | × | 1 50 | + | x | × | 1 50 |
| = | ( | 4498 25 | + | x | ) | × | 1 1000 | + | 2249 625 | + | x | × | 1 50 |
| = | 4498 25 | × | 1 1000 | + | x | × | 1 1000 | + | 2249 625 | + | 1 50 | x |
| = | 2249 12500 | + | x | × | 1 1000 | + | 2249 625 | + | 1 50 | x |
| = | 47229 12500 | + | 21 1000 | x |
47229 12500 | + | 21 1000 | x | = | x |
Transposition :
21 1000 | x | − | x | = | - | 47229 12500 |
Combine the items on the left of the equation:
| - | 979 1000 | x | = | - | 47229 12500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
47229 12500 | = | 979 1000 | 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 :
979 1000 | x | = | 47229 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 47229 12500 | ÷ | 979 1000 |
| = | 47229 12500 | × | 1000 979 |
| = | 47229 25 | × | 2 979 |
We obtained :
| x | = | 94458 24475 |
Convert the result to decimal form :
| x | = | 3.859367 |