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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 1536*x = 0.66*(1652*x+(77.6-x)*759) .
Question type: Equation
Solution:Original question:
| 1536 | x | = | 33 50 | ( | 1652 | x | + | ( | 388 5 | − | x | ) | × | 759 | ) |
| Right side of the equation = | 33 50 | × | 1652 | x | + | 33 50 | ( | 388 5 | − | x | ) | × | 759 |
| = | 27258 25 | x | + | 25047 50 | ( | 388 5 | − | x | ) |
| = | 27258 25 | x | + | 25047 50 | × | 388 5 | − | 25047 50 | x |
| = | 27258 25 | x | + | 4859118 125 | − | 25047 50 | x |
| = | 29469 50 | x | + | 4859118 125 |
| 1536 | x | = | 29469 50 | x | + | 4859118 125 |
Transposition :
| 1536 | x | − | 29469 50 | x | = | 4859118 125 |
Combine the items on the left of the equation:
47331 50 | x | = | 4859118 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4859118 125 | ÷ | 47331 50 |
| = | 4859118 125 | × | 50 47331 |
| = | 539902 5 | × | 2 5259 |
We obtained :
| x | = | 1079804 26295 |
Convert the result to decimal form :
| x | = | 41.064993 |