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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 586.7/6-0.1 = x+x*1.5%+x*10%+(x*110%*13%) .
Question type: Equation
Solution:Original question:
5867 10 | ÷ | 6 | − | 1 10 | = | x | + | x | × | 3 200 | + | x | × | 10 100 | + | ( | x | × | 110 100 | × | 13 100 | ) |
| Left side of the equation = | 5867 60 | − | 1 10 |
| = | 5861 60 |
5861 60 | = | x | + | x | × | 3 200 | + | x | × | 10 100 | + | ( | x | × | 110 100 | × | 13 100 | ) |
| Right side of the equation = | 223 200 | x | + | ( | x | × | 110 100 | × | 13 100 | ) |
5861 60 | = | 223 200 | x | + | ( | x | × | 110 100 | × | 13 100 | ) |
| Right side of the equation = | 223 200 | x | + | x | × | 110 100 | × | 13 100 |
| = | 223 200 | x | + | x | × | 143 1000 |
| = | 629 500 | x |
5861 60 | = | 629 500 | x |
Transposition :
| - | 629 500 | x | = | - | 5861 60 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5861 60 | = | 629 500 | 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 :
629 500 | x | = | 5861 60 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5861 60 | ÷ | 629 500 |
| = | 5861 60 | × | 500 629 |
| = | 5861 3 | × | 25 629 |
We obtained :
| x | = | 146525 1887 |
Convert the result to decimal form :
| x | = | 77.649709 |