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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 （38-30）/（40-30） = （X-0.092）(0.0825-0.092) .
Question type: Equation
Solution:Original question:
| ( | 38 | − | 30 | ) | ÷ | ( | 40 | − | 30 | ) | = | ( | X | − | 23 250 | ) | ( | 33 400 | − | 23 250 | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 30 | ) |
| ( | 38 | − | 30 | ) | = | ( | X | − | 23 250 | ) | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 38 | − | 30 | = | ( | X | − | 23 250 | ) | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 38 | − | 30 | = | X | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | X | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | X | × | 33 400 | ( | 40 | − | 30 | ) | − | X | × | 23 250 | ( | 40 | − | 30 | ) | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | X | × | 33 400 | × | 40 | − | X | × | 33 400 | × | 30 | − | X | × | 23 250 | ( | 40 | − | 30 | ) | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | X | × | 33 10 | − | X | × | 99 40 | − | X | × | 23 250 | ( | 40 | − | 30 | ) | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | 33 40 | X | − | X | × | 23 250 | ( | 40 | − | 30 | ) | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | 33 40 | X | − | X | × | 23 250 | × | 40 | + | X | × | 23 250 | × | 30 | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | 33 40 | X | − | X | × | 92 25 | + | X | × | 69 25 | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | - | 19 200 | X | − | 23 250 | ( | 33 400 | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 8 | = | - | 19 200 | X | − | 23 250 | × | 33 400 | ( | 40 | − | 30 | ) | + | 23 250 | × | 23 250 | ( | 40 | − | 30 | ) |
| 8 | = | - | 19 200 | X | − | 759 100000 | ( | 40 | − | 30 | ) | + | 529 62500 | ( | 40 | − | 30 | ) |
| 8 | = | - | 19 200 | X | − | 759 100000 | × | 40 | + | 759 100000 | × | 30 | + | 529 62500 | ( | 40 | − | 30 | ) |
| 8 | = | - | 19 200 | X | − | 759 2500 | + | 2277 10000 | + | 529 62500 | ( | 40 | − | 30 | ) |
| 8 | = | - | 19 200 | X | − | 759 10000 | + | 529 62500 | ( | 40 | − | 30 | ) |
| 8 | = | - | 19 200 | X | − | 759 10000 | + | 529 62500 | × | 40 | − | 529 62500 | × | 30 |
| 8 | = | - | 19 200 | X | − | 759 10000 | + | 1058 3125 | − | 1587 6250 |
| 8 | = | - | 19 200 | X | + | 437 50000 |
Transposition :
19 200 | X | = | 437 50000 | − | 8 |
Combine the items on the right of the equation:
19 200 | X | = | - | 399563 50000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 399563 50000 | ÷ | 19 200 |
| = | - | 399563 50000 | × | 200 19 |
| = | - | 399563 250 | × | 1 19 |
We obtained :
| X | = | - | 399563 4750 |
Convert the result to decimal form :
| X | = | - 84.118526 |