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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
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Work: Find the solution of equation （55500*12-70%*15x*4.4%)/(30%*15x+3%*15x) = 2.62% .
Question type: Equation
Solution:Original question:
| ( | 55500 | × | 12 | − | 70 100 | × | 15 | x | × | 22 500 | ) | ÷ | ( | 30 100 | × | 15 | x | + | 3 100 | × | 15 | x | ) | = | 131 5000 |
| Multiply both sides of the equation by: | ( | 30 100 | × | 15 | x | + | 3 100 | × | 15 | x | ) |
| ( | 55500 | × | 12 | − | 70 100 | × | 15 | x | × | 22 500 | ) | = | 131 5000 | ( | 30 100 | × | 15 | x | + | 3 100 | × | 15 | x | ) |
| 55500 | × | 12 | − | 70 100 | × | 15 | x | × | 22 500 | = | 131 5000 | ( | 30 100 | × | 15 | x | + | 3 100 | × | 15 | x | ) |
| 55500 | × | 12 | − | 70 100 | × | 15 | x | × | 22 500 | = | 131 5000 | × | 30 100 | × | 15 | x | + | 131 5000 | × | 3 100 | × | 15 | x |
| 666000 | − | 231 500 | x | = | 1179 10000 | x | + | 1179 100000 | x |
| 666000 | − | 231 500 | x | = | 12969 100000 | x |
Transposition :
| - | 231 500 | x | − | 12969 100000 | x | = | - | 666000 |
Combine the items on the left of the equation:
| - | 59169 100000 | x | = | - | 666000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 666000 | = | 59169 100000 | 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 :
59169 100000 | x | = | 666000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 666000 | ÷ | 59169 100000 |
| = | 666000 | × | 100000 59169 |
| = | 222000 | × | 100000 19723 |
We obtained :
| x | = | 22200000000 19723 |