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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*(1536*x+(127.3-x)*759) .
Question type: Equation
Solution:Original question:
| 1536 | x | = | 33 50 | ( | 1536 | x | + | ( | 1273 10 | − | x | ) | × | 759 | ) |
| Right side of the equation = | 33 50 | × | 1536 | x | + | 33 50 | ( | 1273 10 | − | x | ) | × | 759 |
| = | 25344 25 | x | + | 25047 50 | ( | 1273 10 | − | x | ) |
| = | 25344 25 | x | + | 25047 50 | × | 1273 10 | − | 25047 50 | x |
| = | 25344 25 | x | + | 31884831 500 | − | 25047 50 | x |
| = | 25641 50 | x | + | 31884831 500 |
| 1536 | x | = | 25641 50 | x | + | 31884831 500 |
Transposition :
| 1536 | x | − | 25641 50 | x | = | 31884831 500 |
Combine the items on the left of the equation:
51159 50 | x | = | 31884831 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 31884831 500 | ÷ | 51159 50 |
| = | 31884831 500 | × | 50 51159 |
| = | 10628277 10 | × | 1 17053 |
We obtained :
| x | = | 10628277 170530 |
Convert the result to decimal form :
| x | = | 62.324969 |