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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 (32.135-30):(40-32.135) = (x-80.07):(65.60-x) .
Question type: Equation
Solution:Original question:
| ( | 6427 200 | − | 30 | ) | ÷ | ( | 40 | − | 6427 200 | ) | = | ( | x | − | 8007 100 | ) | ÷ | ( | 328 5 | − | x | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 6427 200 | ) | , | ( | 328 5 | − | x | ) |
| ( | 6427 200 | − | 30 | ) | ( | 328 5 | − | x | ) | = | ( | x | − | 8007 100 | ) | ( | 40 | − | 6427 200 | ) |
6427 200 | ( | 328 5 | − | x | ) | − | 30 | ( | 328 5 | − | x | ) | = | ( | x | − | 8007 100 | ) | ( | 40 | − | 6427 200 | ) |
6427 200 | ( | 328 5 | − | x | ) | − | 30 | ( | 328 5 | − | x | ) | = | x | ( | 40 | − | 6427 200 | ) | − | 8007 100 | ( | 40 | − | 6427 200 | ) |
6427 200 | × | 328 5 | − | 6427 200 | x | − | 30 | ( | 328 5 | − | x | ) | = | x | ( | 40 | − | 6427 200 | ) | − | 8007 100 | ( | 40 | − | 6427 200 | ) |
6427 200 | × | 328 5 | − | 6427 200 | x | − | 30 | ( | 328 5 | − | x | ) | = | x | × | 40 | − | x | × | 6427 200 | − | 8007 100 | ( | 40 | − | 6427 200 | ) |
263507 125 | − | 6427 200 | x | − | 30 | ( | 328 5 | − | x | ) | = | x | × | 40 | − | x | × | 6427 200 | − | 8007 100 | ( | 40 | − | 6427 200 | ) |
263507 125 | − | 6427 200 | x | − | 30 | ( | 328 5 | − | x | ) | = | 1573 200 | x | − | 8007 100 | ( | 40 | − | 6427 200 | ) |
263507 125 | − | 6427 200 | x | − | 30 | × | 328 5 | + | 30 | x | = | 1573 200 | x | − | 8007 100 | ( | 40 | − | 6427 200 | ) |
263507 125 | − | 6427 200 | x | − | 30 | × | 328 5 | + | 30 | x | = | 1573 200 | x | − | 8007 100 | × | 40 | + | 8007 100 | × | 6427 200 |
263507 125 | − | 6427 200 | x | − | 1968 | + | 30 | x | = | 1573 200 | x | − | 16014 5 | + | 51460989 20000 |
17507 125 | − | 427 200 | x | = | 1573 200 | x | − | 12595011 20000 |
Transposition :
| - | 427 200 | x | − | 1573 200 | x | = | - | 12595011 20000 | − | 17507 125 |
Combine the items on the left of the equation:
| - | 10 | x | = | - | 12595011 20000 | − | 17507 125 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 15396131 20000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
15396131 20000 | = | 10 | 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 :
| 10 | x | = | 15396131 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 15396131 20000 | ÷ | 10 |
| = | 15396131 20000 | × | 1 10 |
We obtained :
| x | = | 15396131 200000 |
Convert the result to decimal form :
| x | = | 76.980655 |