Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 （470.58-X）/1.09*0.09 = 54.14-X .
Question type: Equation
Solution:Original question:
| ( | 23529 50 | − | X | ) | ÷ | 109 100 | × | 9 100 | = | 2707 50 | − | X |
| Left side of the equation = | ( | 23529 50 | − | X | ) | × | 9 109 |
| ( | 23529 50 | − | X | ) | × | 9 109 | = | 2707 50 | − | X |
| Left side of the equation = | 23529 50 | × | 9 109 | − | X | × | 9 109 |
| = | 211761 5450 | − | X | × | 9 109 |
211761 5450 | − | 9 109 | X | = | 2707 50 | − | X |
Transposition :
| - | 9 109 | X | + | X | = | 2707 50 | − | 211761 5450 |
Combine the items on the left of the equation:
| - | - | 100 109 | X | = | 2707 50 | − | 211761 5450 |
Combine the items on the right of the equation:
| - | - | 100 109 | X | = | 41651 2725 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 41651 2725 | = | - | 100 109 | 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 :
| - | 100 109 | X | = | - | 41651 2725 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 41651 2725 | ÷ | 100 109 |
| = | 41651 2725 | × | 109 100 |
We obtained :
| X | = | 4539959 272500 |
By reducing fraction, we can get:
| X | = | 41651 2500 |
Convert the result to decimal form :
| X | = | 16.6604 |