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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 30 = 50-42.78/18/(1.01+1.88x)*(0.0272-x) .
Question type: Equation
Solution:Original question:
| 30 | = | 50 | − | 2139 50 | ÷ | 18 | ÷ | ( | 101 100 | + | 47 25 | x | ) | × | ( | 17 625 | − | x | ) |
| Multiply both sides of the equation by: | ( | 101 100 | + | 47 25 | x | ) |
| 30 | ( | 101 100 | + | 47 25 | x | ) | = | 50 | ( | 101 100 | + | 47 25 | x | ) | − | 2139 50 | ÷ | 18 | × | ( | 17 625 | − | x | ) |
| 30 | × | 101 100 | + | 30 | × | 47 25 | x | = | 50 | ( | 101 100 | + | 47 25 | x | ) | − | 2139 50 | ÷ | 18 | × | ( | 17 625 | − | x | ) |
| 30 | × | 101 100 | + | 30 | × | 47 25 | x | = | 50 | × | 101 100 | + | 50 | × | 47 25 | x | − | 2139 50 | ÷ | 18 | × | ( | 17 625 | − | x | ) |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 713 300 | ( | 17 625 | − | x | ) |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 713 300 | × | 17 625 | + | 713 300 | x |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 12121 187500 | + | 713 300 | x |
303 10 | + | 282 5 | x | = | 9456629 187500 | + | 28913 300 | x |
Transposition :
282 5 | x | − | 28913 300 | x | = | 9456629 187500 | − | 303 10 |
Combine the items on the left of the equation:
| - | 11993 300 | x | = | 9456629 187500 | − | 303 10 |
Combine the items on the right of the equation:
| - | 11993 300 | x | = | 3775379 187500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 3775379 187500 | = | 11993 300 | 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 :
11993 300 | x | = | - | 3775379 187500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 3775379 187500 | ÷ | 11993 300 |
| = | - | 3775379 187500 | × | 300 11993 |
| = | - | 3775379 625 | × | 1 11993 |
We obtained :
| x | = | - | 3775379 7495625 |
Convert the result to decimal form :
| x | = | - 0.503678 |