Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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*4-154*4-116-183-299-6140)/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*4-154*4-116-183-299-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
| ( | ( | 2584 | + | 1352 | × | 4 | − | 154 | × | 4 | − | 116 | − | 183 | − | 299 | − | 6140 | ) | ÷ | 6140 | ) | × | 1 2 | = | ( | ( | 1845 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Left side of the equation = | ( | 2584 | + | 1352 | × | 4 | − | 154 | × | 4 | − | 116 | − | 183 | − | 299 | − | 6140 | ) | ÷ | 6140 | × | 1 2 |
| = | ( | 2584 | + | 1352 | × | 4 | − | 154 | × | 4 | − | 116 | − | 183 | − | 299 | − | 6140 | ) | × | 1 12280 |
| = | 2584 | × | 1 12280 | + | 1352 | × | 4 | × | 1 12280 | − | 154 | × | 4 | × | 1 12280 | − | 116 | × | 1 12280 | − | 183 | × | 1 12280 |
| = | 323 1535 | + | 676 1535 | − | 77 1535 | − | 29 3070 | − | 183 12280 | − | 299 12280 | − | 1 2 |
| = | 319 6140 |
319 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 |
319 6140 | = | - | 1871 3716 | + | 1 3716 | X |
Transposition :
| - | 1 3716 | X | = | - | 1871 3716 | − | 319 6140 |
Combine the items on the right of the equation:
| - | 1 3716 | X | = | - | 792084 1426015 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
792084 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 | = | 792084 1426015 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 792084 1426015 | ÷ | 1 3716 |
| = | 792084 1426015 | × | 3716 |
We obtained :
| X | = | 2943384144 1426015 |
By reducing fraction, we can get:
| X | = | 3168336 1535 |
Convert the result to decimal form :
| X | = | 2064.062541 |