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 x*7-196-183.36-1040*0.8-5-(x*7*0.13-14)*0.1 = 314 .
Question type: Equation
Solution:Original question:
| x | × | 7 | − | 196 | − | 4584 25 | − | 1040 | × | 4 5 | − | 5 | − | ( | x | × | 7 | × | 13 100 | − | 14 | ) | × | 1 10 | = | 314 |
| Left side of the equation = | x | × | 7 | − | 196 | − | 4584 25 | − | 832 | − | 5 | − | ( | x | × | 7 | × | 13 100 | − | 14 | ) | × | 1 10 |
| = | 7 | x | − | 30409 25 | − | ( | x | × | 7 | × | 13 100 | − | 14 | ) | × | 1 10 |
| 7 | x | − | 30409 25 | − | ( | x | × | 7 | × | 13 100 | − | 14 | ) | × | 1 10 | = | 314 |
| Left side of the equation = | 7 | x | − | 30409 25 | − | x | × | 7 | × | 13 100 | × | 1 10 | + | 14 | × | 1 10 |
| = | 7 | x | − | 30409 25 | − | x | × | 91 1000 | + | 7 5 |
| = | 6909 1000 | x | − | 30374 25 |
6909 1000 | x | − | 30374 25 | = | 314 |
Transposition :
6909 1000 | x | = | 314 | + | 30374 25 |
Combine the items on the right of the equation:
6909 1000 | x | = | 38224 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 38224 25 | ÷ | 6909 1000 |
| = | 38224 25 | × | 1000 6909 |
| = | 38224 | × | 40 6909 |
We obtained :
| x | = | 1528960 6909 |
Convert the result to decimal form :
| x | = | 221.299754 |