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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 {[16000x/1.13*0.13+(100-1.28x)*10000/(0.91*0.09)]-98000}/(16000x/1.13) = 0.025 .
Question type: Equation
Solution:Original question:
| ( | ( | 16000 | x | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | ÷ | ( | 91 100 | × | 9 100 | ) | ) | − | 98000 | ) | ÷ | ( | 16000 | x | ÷ | 113 100 | ) | = | 1 40 |
| Multiply both sides of the equation by: | ( | 16000 | x | ÷ | 113 100 | ) |
| ( | ( | 16000 | x | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | ÷ | ( | 91 100 | × | 9 100 | ) | ) | − | 98000 | ) | = | 1 40 | ( | 16000 | x | ÷ | 113 100 | ) |
| ( | 16000 | x | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | ÷ | ( | 91 100 | × | 9 100 | ) | ) | − | 98000 | = | 1 40 | ( | 16000 | x | ÷ | 113 100 | ) |
| ( | 16000 | x | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | ÷ | ( | 91 100 | × | 9 100 | ) | ) | − | 98000 | = | 1 40 | × | 16000 | x | ÷ | 113 100 |
| ( | 16000 | x | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | ÷ | ( | 91 100 | × | 9 100 | ) | ) | − | 98000 | = | 40000 113 | x |
| 16000 | x | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | ÷ | ( | 91 100 | × | 9 100 | ) | − | 98000 | = | 40000 113 | x |
208000 113 | x | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | ÷ | ( | 91 100 | × | 9 100 | ) | − | 98000 | = | 40000 113 | x |
| Multiply both sides of the equation by: | ( | 91 100 | × | 9 100 | ) |
208000 113 | x | ( | 91 100 | × | 9 100 | ) | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | − | 98000 | ( | 91 100 | × | 9 100 | ) | = | 40000 113 | x | ( | 91 100 | × | 9 100 | ) |
208000 113 | x | × | 91 100 | × | 9 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | − | 98000 | ( | 91 100 | × | 9 100 | ) | = | 40000 113 | x | ( | 91 100 | × | 9 100 | ) |
208000 113 | x | × | 91 100 | × | 9 100 | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | − | 98000 | ( | 91 100 | × | 9 100 | ) | = | 40000 113 | x | × | 91 100 | × | 9 100 |
85176 565 | x | + | ( | 100 | − | 32 25 | x | ) | × | 10000 | − | 98000 | ( | 91 100 | × | 9 100 | ) | = | 3276 113 | x |
85176 565 | x | + | 100 | × | 10000 | − | 32 25 | x | × | 10000 | − | 98000 | ( | 91 100 | × | 9 100 | ) | = | 3276 113 | x |
85176 565 | x | + | 1000000 | − | 12800 | x | − | 98000 | ( | 91 100 | × | 9 100 | ) | = | 3276 113 | x |
| - | 7146824 565 | x | + | 1000000 | − | 98000 | ( | 91 100 | × | 9 100 | ) | = | 3276 113 | x |
| - | 7146824 565 | x | + | 1000000 | − | 98000 | × | 91 100 | × | 9 100 | = | 3276 113 | x |
| - | 7146824 565 | x | + | 1000000 | − | 40131 5 | = | 3276 113 | x |
| - | 7146824 565 | x | + | 4959869 5 | = | 3276 113 | x |
Transposition :
| - | 7146824 565 | x | − | 3276 113 | x | = | - | 4959869 5 |
Combine the items on the left of the equation:
| - | 7163204 565 | x | = | - | 4959869 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4959869 5 | = | 7163204 565 | 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 :
7163204 565 | x | = | 4959869 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4959869 5 | ÷ | 7163204 565 |
| = | 4959869 5 | × | 565 7163204 |
| = | 4959869 | × | 113 7163204 |
We obtained :
| x | = | 560465197 7163204 |
Convert the result to decimal form :
| x | = | 78.24225 |