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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 1652*x = 0.59*(1652*x+(91.2-x)*808) .
Question type: Equation
Solution:Original question:
| 1652 | x | = | 59 100 | ( | 1652 | x | + | ( | 456 5 | − | x | ) | × | 808 | ) |
| Right side of the equation = | 59 100 | × | 1652 | x | + | 59 100 | ( | 456 5 | − | x | ) | × | 808 |
| = | 24367 25 | x | + | 11918 25 | ( | 456 5 | − | x | ) |
| = | 24367 25 | x | + | 11918 25 | × | 456 5 | − | 11918 25 | x |
| = | 24367 25 | x | + | 5434608 125 | − | 11918 25 | x |
| = | 12449 25 | x | + | 5434608 125 |
| 1652 | x | = | 12449 25 | x | + | 5434608 125 |
Transposition :
| 1652 | x | − | 12449 25 | x | = | 5434608 125 |
Combine the items on the left of the equation:
28851 25 | x | = | 5434608 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5434608 125 | ÷ | 28851 25 |
| = | 5434608 125 | × | 25 28851 |
| = | 30704 5 | × | 1 163 |
We obtained :
| x | = | 30704 815 |
Convert the result to decimal form :
| x | = | 37.67362 |