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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 9800*4*（100-0.25）-x = 1000*6.83*（13.67-0.68） .
Question type: Equation
Solution:Original question:
| 9800 | × | 4 | ( | 100 | − | 1 4 | ) | − | x | = | 1000 | × | 683 100 | ( | 1367 100 | − | 17 25 | ) |
| Left side of the equation = | 39200 | ( | 100 | − | 1 4 | ) | − | x |
| 39200 | ( | 100 | − | 1 4 | ) | − | x | = | 1000 | × | 683 100 | ( | 1367 100 | − | 17 25 | ) |
| Left side of the equation = | 39200 | × | 100 | − | 39200 | × | 1 4 | − | x |
| = | 3920000 | − | 9800 | − | x |
| = | 3910200 | − | x |
| 3910200 | − | x | = | 1000 | × | 683 100 | ( | 1367 100 | − | 17 25 | ) |
| Right side of the equation = | 6830 | ( | 1367 100 | − | 17 25 | ) |
| 3910200 | − | x | = | 6830 | ( | 1367 100 | − | 17 25 | ) |
| Right side of the equation = | 6830 | × | 1367 100 | − | 6830 | × | 17 25 |
| = | 933661 10 | − | 23222 5 |
| = | 887217 10 |
| 3910200 | − | x | = | 887217 10 |
Transposition :
| - | x | = | 887217 10 | − | 3910200 |
Combine the items on the right of the equation:
| - | x | = | - | 38214783 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
38214783 10 | = | 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 :
| x | = | 38214783 10 |
This is the solution of the equation.