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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 (12839.52+x)*4.92% = 4x .
Question type: Equation
Solution:Original question:
| ( | 320988 25 | + | x | ) | × | 123 2500 | = | 4 | x |
| Left side of the equation = | 320988 25 | × | 123 2500 | + | x | × | 123 2500 |
| = | 9870381 15625 | + | x | × | 123 2500 |
9870381 15625 | + | 123 2500 | x | = | 4 | x |
Transposition :
123 2500 | x | − | 4 | x | = | - | 9870381 15625 |
Combine the items on the left of the equation:
| - | 9877 2500 | x | = | - | 9870381 15625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9870381 15625 | = | 9877 2500 | 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 :
9877 2500 | x | = | 9870381 15625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9870381 15625 | ÷ | 9877 2500 |
| = | 9870381 15625 | × | 2500 9877 |
| = | 9870381 25 | × | 4 9877 |
We obtained :
| x | = | 39481524 246925 |
Convert the result to decimal form :
| x | = | 159.892777 |