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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 1/(1-((0.8*0.019)/(1.2*(0.015-x))) ) = 15.38 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | ( | 1 | − | ( | ( | 4 5 | × | 19 1000 | ) | ÷ | ( | 6 5 | ( | 3 200 | − | x | ) | ) | ) | ) | = | 769 50 |
| Multiply both sides of the equation by: | ( | 1 | − | ( | ( | 4 5 | × | 19 1000 | ) | ÷ | ( | 6 5 | ( | 3 200 | − | x | ) | ) | ) | ) |
| 1 | = | 769 50 | ( | 1 | − | ( | ( | 4 5 | × | 19 1000 | ) | ÷ | ( | 6 5 | ( | 3 200 | − | x | ) | ) | ) | ) |
| 1 | = | 769 50 | × | 1 | − | 769 50 | ( | ( | 4 5 | × | 19 1000 | ) | ÷ | ( | 6 5 | ( | 3 200 | − | x | ) | ) | ) |
| 1 | = | 769 50 | − | 769 50 | ( | ( | 4 5 | × | 19 1000 | ) | ÷ | ( | 6 5 | ( | 3 200 | − | x | ) | ) | ) |
| 1 | = | 769 50 | − | 769 50 | ( | 4 5 | × | 19 1000 | ) | ÷ | ( | 6 5 | ( | 3 200 | − | x | ) | ) |
| Multiply both sides of the equation by: | ( | 6 5 | ( | 3 200 | − | x | ) | ) |
| 1 | ( | 6 5 | ( | 3 200 | − | x | ) | ) | = | 769 50 | ( | 6 5 | ( | 3 200 | − | x | ) | ) | − | 769 50 | ( | 4 5 | × | 19 1000 | ) |
| 1 | × | 6 5 | ( | 3 200 | − | x | ) | = | 769 50 | ( | 6 5 | ( | 3 200 | − | x | ) | ) | − | 769 50 | ( | 4 5 | × | 19 1000 | ) |
| 1 | × | 6 5 | ( | 3 200 | − | x | ) | = | 769 50 | × | 6 5 | ( | 3 200 | − | x | ) | − | 769 50 | ( | 4 5 | × | 19 1000 | ) |
6 5 | ( | 3 200 | − | x | ) | = | 2307 125 | ( | 3 200 | − | x | ) | − | 769 50 | ( | 4 5 | × | 19 1000 | ) |
6 5 | × | 3 200 | − | 6 5 | x | = | 2307 125 | ( | 3 200 | − | x | ) | − | 769 50 | ( | 4 5 | × | 19 1000 | ) |
6 5 | × | 3 200 | − | 6 5 | x | = | 2307 125 | × | 3 200 | − | 2307 125 | x | − | 769 50 | ( | 4 5 | × | 19 1000 | ) |
9 500 | − | 6 5 | x | = | 6921 25000 | − | 2307 125 | x | − | 769 50 | ( | 4 5 | × | 19 1000 | ) |
9 500 | − | 6 5 | x | = | 6921 25000 | − | 2307 125 | x | − | 769 50 | × | 4 5 | × | 19 1000 |
9 500 | − | 6 5 | x | = | 6921 25000 | − | 2307 125 | x | − | 14611 62500 |
9 500 | − | 6 5 | x | = | 5383 125000 | − | 2307 125 | x |
Transposition :
| - | 6 5 | x | + | 2307 125 | x | = | 5383 125000 | − | 9 500 |
Combine the items on the left of the equation:
2157 125 | x | = | 5383 125000 | − | 9 500 |
Combine the items on the right of the equation:
2157 125 | x | = | 3133 125000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3133 125000 | ÷ | 2157 125 |
| = | 3133 125000 | × | 125 2157 |
| = | 3133 1000 | × | 1 2157 |
We obtained :
| x | = | 3133 2157000 |
Convert the result to decimal form :
| x | = | 0.001452 |