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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 （(2584+1352*3-154*3-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
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 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.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （(2584+1352*3-154*3-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
| ( | ( | 2584 | + | 1352 | × | 3 | − | 154 | × | 3 | − | 6140 | ) | ÷ | 6140 | ) | × | 1 2 | = | ( | ( | 1845 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Left side of the equation = | ( | 2584 | + | 1352 | × | 3 | − | 154 | × | 3 | − | 6140 | ) | ÷ | 6140 | × | 1 2 |
| = | ( | 2584 | + | 1352 | × | 3 | − | 154 | × | 3 | − | 6140 | ) | × | 1 12280 |
| = | 2584 | × | 1 12280 | + | 1352 | × | 3 | × | 1 12280 | − | 154 | × | 3 | × | 1 12280 | − | 6140 | × | 1 12280 |
| = | 323 1535 | + | 507 1535 | − | 231 6140 | − | 1 2 |
| = | 19 6140 |
19 6140 | = | ( | ( | 1845 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Right side of the equation = | ( | 1845 | + | X | ) | × | 1 3716 | − | 3716 | × | 1 3716 |
| = | ( | 1845 | + | X | ) | × | 1 3716 | − | 1 |
| = | 1845 | × | 1 3716 | + | X | × | 1 3716 | − | 1 |
| = | 1845 3716 | + | X | × | 1 3716 | − | 1 |
| = | - | 1871 3716 | + | 1 3716 | X |
19 6140 | = | - | 1871 3716 | + | 1 3716 | X |
Transposition :
| - | 1 3716 | X | = | - | 1871 3716 | − | 19 6140 |
Combine the items on the right of the equation:
| - | 1 3716 | X | = | - | 722409 1426015 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
722409 1426015 | = | 1 3716 | 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 :
1 3716 | X | = | 722409 1426015 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 722409 1426015 | ÷ | 1 3716 |
| = | 722409 1426015 | × | 3716 |
We obtained :
| X | = | 2684471844 1426015 |
By reducing fraction, we can get:
| X | = | 2889636 1535 |
Convert the result to decimal form :
| X | = | 1882.499023 |