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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）*1000 = 3（1510+X） .
Question type: Equation
Solution:Original question:
| ( | 1 | + | 2 5 | + | 400 | ÷ | 1650 | + | X | ÷ | 108 | ) | × | 1000 | = | 3 | ( | 1510 | + | X | ) |
| Left side of the equation = | 1 | × | 1000 | + | 2 5 | × | 1000 | + | 400 | ÷ | 1650 | × | 1000 | + | X | ÷ | 108 | × | 1000 |
| = | 1000 | + | 400 | + | 8000 33 | + | X | × | 250 27 |
| = | 54200 33 | + | 250 27 | X |
54200 33 | + | 250 27 | X | = | 3 | ( | 1510 | + | X | ) |
| Right side of the equation = | 3 | × | 1510 | + | 3 | X |
| = | 4530 | + | 3 | X |
54200 33 | + | 250 27 | X | = | 4530 | + | 3 | X |
Transposition :
250 27 | X | − | 3 | X | = | 4530 | − | 54200 33 |
Combine the items on the left of the equation:
169 27 | X | = | 4530 | − | 54200 33 |
Combine the items on the right of the equation:
169 27 | X | = | 95290 33 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 95290 33 | ÷ | 169 27 |
| = | 95290 33 | × | 27 169 |
| = | 7330 11 | × | 9 13 |
We obtained :
| X | = | 65970 143 |
Convert the result to decimal form :
| X | = | 461.328671 |