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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 x-[(x-40000-24000-49072.57)*0.03-689.76] = 8922.21 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x-[(x-40000-24000-49072.57)*0.03-689.76] = 8922.21 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | − | 40000 | − | 24000 | − | 4907257 100 | ) | × | 3 100 | − | 17244 25 | ) | = | 892221 100 |
| Left side of the equation = | x | − | ( | x | − | 40000 | − | 24000 | − | 4907257 100 | ) | × | 3 100 | + | 17244 25 |
| = | x | − | x | × | 3 100 | + | 40000 | × | 3 100 | + | 24000 | × | 3 100 | + | 4907257 100 | × | 3 100 | + | 17244 25 |
| = | x | − | x | × | 3 100 | + | 1200 | + | 720 | + | 14721771 10000 | + | 17244 25 |
| = | 97 100 | x | + | 40819371 10000 |
97 100 | x | + | 40819371 10000 | = | 892221 100 |
Transposition :
97 100 | x | = | 892221 100 | − | 40819371 10000 |
Combine the items on the right of the equation:
97 100 | x | = | 48402729 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 48402729 10000 | ÷ | 97 100 |
| = | 48402729 10000 | × | 100 97 |
| = | 48402729 100 | × | 1 97 |
We obtained :
| x | = | 48402729 9700 |
Convert the result to decimal form :
| x | = | 4989.972062 |