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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 5720*x = 360*1520+(360*509)/(0.518-0.8)*(x/300-0.8) .
Question type: Equation
Solution:Original question:
| 5720 | x | = | 360 | × | 1520 | + | ( | 360 | × | 509 | ) | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) |
| Multiply both sides of the equation by: | ( | 259 500 | − | 4 5 | ) |
| 5720 | x | ( | 259 500 | − | 4 5 | ) | = | 360 | × | 1520 | ( | 259 500 | − | 4 5 | ) | + | ( | 360 | × | 509 | ) | ( | x | ÷ | 300 | − | 4 5 | ) |
| 5720 | x | × | 259 500 | − | 5720 | x | × | 4 5 | = | 360 | × | 1520 | ( | 259 500 | − | 4 5 | ) | + | ( | 360 | × | 509 | ) | ( | x | ÷ | 300 | − | 4 5 | ) |
| 5720 | x | × | 259 500 | − | 5720 | x | × | 4 5 | = | 360 | × | 1520 | × | 259 500 | − | 360 | × | 1520 | × | 4 5 | + | ( | 360 | × | 509 | ) | ( | x | ÷ | 300 | − | 4 5 | ) |
74074 25 | x | − | 4576 | x | = | 1417248 5 | − | 437760 | + | ( | 360 | × | 509 | ) | ( | x | ÷ | 300 | − | 4 5 | ) |
| - | 40326 25 | x | = | - | 771552 5 | + | ( | 360 | × | 509 | ) | ( | x | ÷ | 300 | − | 4 5 | ) |
| - | 40326 25 | x | = | - | 771552 5 | + | 360 | × | 509 | ( | x | ÷ | 300 | − | 4 5 | ) |
| - | 40326 25 | x | = | - | 771552 5 | + | 183240 | ( | x | ÷ | 300 | − | 4 5 | ) |
| - | 40326 25 | x | = | - | 771552 5 | + | 183240 | x | ÷ | 300 | − | 183240 | × | 4 5 |
| - | 40326 25 | x | = | - | 771552 5 | + | 3054 5 | x | − | 146592 |
| - | 40326 25 | x | = | - | 1504512 5 | + | 3054 5 | x |
Transposition :
| - | 40326 25 | x | − | 3054 5 | x | = | - | 1504512 5 |
Combine the items on the left of the equation:
| - | 55596 25 | x | = | - | 1504512 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1504512 5 | = | 55596 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 :
55596 25 | x | = | 1504512 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1504512 5 | ÷ | 55596 25 |
| = | 1504512 5 | × | 25 55596 |
| = | 125376 | × | 5 4633 |
We obtained :
| x | = | 626880 4633 |
Convert the result to decimal form :
| x | = | 135.307576 |