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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/(1.01+1.88x)*(0.0272-x) .
Question type: Equation
Solution:Original question:
| 30 | = | 50 | − | 2139 50 | ÷ | ( | 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 | ( | 17 625 | − | x | ) |
| 30 | × | 101 100 | + | 30 | × | 47 25 | x | = | 50 | ( | 101 100 | + | 47 25 | x | ) | − | 2139 50 | ( | 17 625 | − | x | ) |
| 30 | × | 101 100 | + | 30 | × | 47 25 | x | = | 50 | × | 101 100 | + | 50 | × | 47 25 | x | − | 2139 50 | ( | 17 625 | − | x | ) |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 2139 50 | ( | 17 625 | − | x | ) |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 2139 50 | × | 17 625 | + | 2139 50 | x |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 36363 31250 | + | 2139 50 | x |
303 10 | + | 282 5 | x | = | 770881 15625 | + | 6839 50 | x |
Transposition :
282 5 | x | − | 6839 50 | x | = | 770881 15625 | − | 303 10 |
Combine the items on the left of the equation:
| - | 4019 50 | x | = | 770881 15625 | − | 303 10 |
Combine the items on the right of the equation:
| - | 4019 50 | x | = | 594887 31250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 594887 31250 | = | 4019 50 | 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 :
4019 50 | x | = | - | 594887 31250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 594887 31250 | ÷ | 4019 50 |
| = | - | 594887 31250 | × | 50 4019 |
| = | - | 594887 625 | × | 1 4019 |
We obtained :
| x | = | - | 594887 2511875 |
Convert the result to decimal form :
| x | = | - 0.23683 |