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 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 | − | 19251 25 | ( | 17 625 | − | x | ) |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 19251 25 | × | 17 625 | + | 19251 25 | x |
303 10 | + | 282 5 | x | = | 101 2 | + | 94 | x | − | 327267 15625 | + | 19251 25 | x |
303 10 | + | 282 5 | x | = | 923591 31250 | + | 21601 25 | x |
Transposition :
282 5 | x | − | 21601 25 | x | = | 923591 31250 | − | 303 10 |
Combine the items on the left of the equation:
| - | 20191 25 | x | = | 923591 31250 | − | 303 10 |
Combine the items on the right of the equation:
| - | 20191 25 | x | = | - | 11642 15625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
11642 15625 | = | 20191 25 | 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 :
20191 25 | x | = | 11642 15625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11642 15625 | ÷ | 20191 25 |
| = | 11642 15625 | × | 25 20191 |
| = | 11642 625 | × | 1 20191 |
We obtained :
| x | = | 11642 12619375 |
Convert the result to decimal form :
| x | = | 0.000923 |