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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-3369.86)*0.8+3369.86 = (x-4767.12)*0.6+4767.12 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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-3369.86)*0.8+3369.86 = (x-4767.12)*0.6+4767.12 .
Question type: Equation
Solution:Original question:
| ( | x | − | 168493 50 | ) | × | 4 5 | + | 168493 50 | = | ( | x | − | 119178 25 | ) | × | 3 5 | + | 119178 25 |
| Left side of the equation = | x | × | 4 5 | − | 168493 50 | × | 4 5 | + | 168493 50 |
| = | x | × | 4 5 | − | 336986 125 | + | 168493 50 |
| = | 4 5 | x | + | 168493 250 |
4 5 | x | + | 168493 250 | = | ( | x | − | 119178 25 | ) | × | 3 5 | + | 119178 25 |
| Right side of the equation = | x | × | 3 5 | − | 119178 25 | × | 3 5 | + | 119178 25 |
| = | x | × | 3 5 | − | 357534 125 | + | 119178 25 |
| = | 3 5 | x | + | 238356 125 |
4 5 | x | + | 168493 250 | = | 3 5 | x | + | 238356 125 |
Transposition :
4 5 | x | − | 3 5 | x | = | 238356 125 | − | 168493 250 |
Combine the items on the left of the equation:
1 5 | x | = | 238356 125 | − | 168493 250 |
Combine the items on the right of the equation:
1 5 | x | = | 308219 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 308219 250 | ÷ | 1 5 |
| = | 308219 250 | × | 5 |
| = | 308219 50 | × | 1 |
We obtained :
| x | = | 308219 50 |
Convert the result to decimal form :
| x | = | 6164.38 |