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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 1.62*58122+1.2861*x = 1.53*(58122+x) .
Question type: Equation
Solution:Original question:
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:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
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 1.62*58122+1.2861*x = 1.53*(58122+x) .
Question type: Equation
Solution:Original question:
81 50 | × | 58122 | + | 12861 10000 | x | = | 153 100 | ( | 58122 | + | x | ) |
| Left side of the equation = | 2353941 25 | + | 12861 10000 | x |
2353941 25 | + | 12861 10000 | x | = | 153 100 | ( | 58122 | + | x | ) |
| Right side of the equation = | 153 100 | × | 58122 | + | 153 100 | x |
| = | 4446333 50 | + | 153 100 | x |
2353941 25 | + | 12861 10000 | x | = | 4446333 50 | + | 153 100 | x |
Transposition :
12861 10000 | x | − | 153 100 | x | = | 4446333 50 | − | 2353941 25 |
Combine the items on the left of the equation:
| - | 2439 10000 | x | = | 4446333 50 | − | 2353941 25 |
Combine the items on the right of the equation:
| - | 2439 10000 | x | = | - | 261549 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
261549 50 | = | 2439 10000 | 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 :
2439 10000 | x | = | 261549 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 261549 50 | ÷ | 2439 10000 |
| = | 261549 50 | × | 10000 2439 |
| = | 29061 | × | 200 271 |
We obtained :
| x | = | 5812200 271 |
Convert the result to decimal form :
| x | = | 21447.232472 |