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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 (666000-0.7*15x*0.044)/(0.3*15x+0.03*15x) = 0.038 .
Question type: Equation
Solution:Original question:
| ( | 666000 | − | 7 10 | × | 15 | x | × | 11 250 | ) | ÷ | ( | 3 10 | × | 15 | x | + | 3 100 | × | 15 | x | ) | = | 19 500 |
| Multiply both sides of the equation by: | ( | 3 10 | × | 15 | x | + | 3 100 | × | 15 | x | ) |
| ( | 666000 | − | 7 10 | × | 15 | x | × | 11 250 | ) | = | 19 500 | ( | 3 10 | × | 15 | x | + | 3 100 | × | 15 | x | ) |
| 666000 | − | 7 10 | × | 15 | x | × | 11 250 | = | 19 500 | ( | 3 10 | × | 15 | x | + | 3 100 | × | 15 | x | ) |
| 666000 | − | 7 10 | × | 15 | x | × | 11 250 | = | 19 500 | × | 3 10 | × | 15 | x | + | 19 500 | × | 3 100 | × | 15 | x |
| 666000 | − | 231 500 | x | = | 171 1000 | x | + | 171 10000 | x |
| 666000 | − | 231 500 | x | = | 1881 10000 | x |
Transposition :
| - | 231 500 | x | − | 1881 10000 | x | = | - | 666000 |
Combine the items on the left of the equation:
| - | 6501 10000 | x | = | - | 666000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 666000 | = | 6501 10000 | 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 :
6501 10000 | x | = | 666000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 666000 | ÷ | 6501 10000 |
| = | 666000 | × | 10000 6501 |
| = | 222000 | × | 10000 2167 |
We obtained :
| x | = | 2220000000 2167 |
Convert the result to decimal form :
| x | = | 1024457.775727 |