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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 x/87/(15/100+20/1650)/(x+69.3) = 2 .
Question type: Equation
Solution:Original question:
| x | ÷ | 87 | ÷ | ( | 15 | ÷ | 100 | + | 20 | ÷ | 1650 | ) | ÷ | ( | x | + | 693 10 | ) | = | 2 |
| Multiply both sides of the equation by: | ( | 15 | ÷ | 100 | + | 20 | ÷ | 1650 | ) |
| x | ÷ | 87 | ÷ | ( | x | + | 693 10 | ) | = | 2 | ( | 15 | ÷ | 100 | + | 20 | ÷ | 1650 | ) |
| x | ÷ | 87 | ÷ | ( | x | + | 693 10 | ) | = | 2 | × | 15 | ÷ | 100 | + | 2 | × | 20 | ÷ | 1650 |
| x | × | 1 87 | ÷ | ( | x | + | 693 10 | ) | = | 3 10 | + | 4 165 |
| x | × | 1 87 | ÷ | ( | x | + | 693 10 | ) | = | 107 330 |
| Multiply both sides of the equation by: | ( | x | + | 693 10 | ) |
| x | × | 1 87 | = | 107 330 | ( | x | + | 693 10 | ) |
| x | × | 1 87 | = | 107 330 | x | + | 107 330 | × | 693 10 |
| x | × | 1 87 | = | 107 330 | x | + | 2247 100 |
Transposition :
1 87 | x | − | 107 330 | x | = | 2247 100 |
Combine the items on the left of the equation:
| - | 2993 9570 | x | = | 2247 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 2247 100 | = | 2993 9570 | 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 :
2993 9570 | x | = | - | 2247 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 2247 100 | ÷ | 2993 9570 |
| = | - | 2247 100 | × | 9570 2993 |
| = | - | 2247 10 | × | 957 2993 |
We obtained :
| x | = | - | 2150379 29930 |
Convert the result to decimal form :
| x | = | - 71.846943 |