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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 （1+0.4+400/1650+X/108+60/133.58）*1000 = 3（1570+X） .
Question type: Equation
Solution:Original question:
| ( | 1 | + | 2 5 | + | 400 | ÷ | 1650 | + | X | ÷ | 108 | + | 60 | ÷ | 6679 50 | ) | × | 1000 | = | 3 | ( | 1570 | + | X | ) |
| Left side of the equation = | 1 | × | 1000 | + | 2 5 | × | 1000 | + | 400 | ÷ | 1650 | × | 1000 | + | X | ÷ | 108 | × | 1000 | + | 60 | ÷ | 6679 50 |
| = | 1000 | + | 400 | + | 8000 33 | + | X | × | 250 27 | + | 3000000 6679 |
| = | 461001800 220407 | + | 250 27 | X |
461001800 220407 | + | 250 27 | X | = | 3 | ( | 1570 | + | X | ) |
| Right side of the equation = | 3 | × | 1570 | + | 3 | X |
| = | 4710 | + | 3 | X |
461001800 220407 | + | 250 27 | X | = | 4710 | + | 3 | X |
Transposition :
250 27 | X | − | 3 | X | = | 4710 | − | 461001800 220407 |
Combine the items on the left of the equation:
169 27 | X | = | 4710 | − | 461001800 220407 |
Combine the items on the right of the equation:
169 27 | X | = | 577115170 220407 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 577115170 220407 | ÷ | 169 27 |
| = | 577115170 220407 | × | 27 169 |
| = | 577115170 73469 | × | 9 169 |
We obtained :
| X | = | 5194036530 12416261 |
Convert the result to decimal form :
| X | = | 418.325334 |