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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 -1200+（40*(1-X)*10-170）*5.6502+100*0.322 = 0 .
Question type: Equation
Solution:Original question:
| - | 1200 | + | ( | 40 | ( | 1 | − | X | ) | × | 10 | − | 170 | ) | × | 28251 5000 | + | 100 | × | 161 500 | = | 0 |
| Left side of the equation = | - | 1200 | + | ( | 40 | ( | 1 | − | X | ) | × | 10 | − | 170 | ) | × | 28251 5000 | + | 161 5 |
| = | - | 5839 5 | + | ( | 40 | ( | 1 | − | X | ) | × | 10 | − | 170 | ) | × | 28251 5000 |
| - | 5839 5 | + | ( | 40 | ( | 1 | − | X | ) | × | 10 | − | 170 | ) | × | 28251 5000 | = | 0 |
| Left side of the equation = | - | 5839 5 | + | 40 | ( | 1 | − | X | ) | × | 10 | × | 28251 5000 | − | 170 | × | 28251 5000 |
| = | - | 5839 5 | + | 56502 25 | ( | 1 | − | X | ) | − | 480267 500 |
| = | - | 1064167 500 | + | 56502 25 | ( | 1 | − | X | ) |
| = | - | 1064167 500 | + | 56502 25 | × | 1 | − | 56502 25 | X |
| = | - | 1064167 500 | + | 56502 25 | − | 56502 25 | X |
| = | 65873 500 | − | 56502 25 | X |
65873 500 | − | 56502 25 | X | = | 0 |
Transposition :
| - | 56502 25 | X | = | 0 | − | 65873 500 |
Combine the items on the right of the equation:
| - | 56502 25 | X | = | - | 65873 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
65873 500 | = | 56502 25 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
56502 25 | X | = | 65873 500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 65873 500 | ÷ | 56502 25 |
| = | 65873 500 | × | 25 56502 |
| = | 65873 20 | × | 1 56502 |
We obtained :
| X | = | 65873 1130040 |
Convert the result to decimal form :
| X | = | 0.058293 |