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 (1-((1-(-358+x)/4700)*0.5-0.065))*8083 = 3598+x .
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 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-((1-(-358+x)/4700)*0.5-0.065))*8083 = 3598+x .
Question type: Equation
Solution:Original question:
| ( | 1 | − | ( | ( | 1 | − | ( | - | 358 | + | x | ) | ÷ | 4700 | ) | × | 1 2 | − | 13 200 | ) | ) | × | 8083 | = | 3598 | + | x |
| Left side of the equation = | 1 | × | 8083 | − | ( | ( | 1 | − | ( | - | 358 | + | x | ) | ÷ | 4700 | ) | × | 1 2 | − | 13 200 | ) | × | 8083 |
| = | 8083 | − | ( | ( | 1 | − | ( | - | 358 | + | x | ) | ÷ | 4700 | ) | × | 1 2 | − | 13 200 | ) | × | 8083 |
| = | 8083 | − | ( | 1 | − | ( | - | 358 | + | x | ) | ÷ | 4700 | ) | × | 1 2 | × | 8083 | + | 13 200 | × | 8083 |
| = | 8083 | − | ( | 1 | − | ( | - | 358 | + | x | ) | ÷ | 4700 | ) | × | 8083 2 | + | 105079 200 |
| = | 1721679 200 | − | ( | 1 | − | ( | - | 358 | + | x | ) | ÷ | 4700 | ) | × | 8083 2 |
| = | 1721679 200 | − | 1 | × | 8083 2 | + | ( | - | 358 | + | x | ) | ÷ | 4700 | × | 8083 2 |
| = | 1721679 200 | − | 8083 2 | + | ( | - | 358 | + | x | ) | × | 8083 9400 |
| = | 913379 200 | + | ( | - | 358 | + | x | ) | × | 8083 9400 |
| = | 913379 200 | − | 358 | × | 8083 9400 | + | x | × | 8083 9400 |
| = | 913379 200 | − | 1446857 4700 | + | x | × | 8083 9400 |
| = | 40035099 9400 | + | 8083 9400 | x |
40035099 9400 | + | 8083 9400 | x | = | 3598 | + | x |
Transposition :
8083 9400 | x | − | x | = | 3598 | − | 40035099 9400 |
Combine the items on the left of the equation:
| - | 1317 9400 | x | = | 3598 | − | 40035099 9400 |
Combine the items on the right of the equation:
| - | 1317 9400 | x | = | - | 6213899 9400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6213899 9400 | = | 1317 9400 | 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 :
1317 9400 | x | = | 6213899 9400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6213899 9400 | ÷ | 1317 9400 |
| = | 6213899 9400 | × | 9400 1317 |
| = | 6213899 | × | 1 1317 |
We obtained :
| x | = | 6213899 1317 |
Convert the result to decimal form :
| x | = | 4718.222475 |