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 -1200+(400-170*（1-x%）)*5.6502+100*0.322 = 0 .
Question type: Equation
Solution:Original question:
| - | 1200 | + | ( | 400 | − | 170 | ( | 1 | − | x | ) | ) | × | 28251 5000 | + | 100 | × | 161 500 | = | 0 |
| Left side of the equation = | - | 1200 | + | ( | 400 | − | 170 | ( | 1 | − | x | ) | ) | × | 28251 5000 | + | 161 5 |
| = | - | 5839 5 | + | ( | 400 | − | 170 | ( | 1 | − | x | ) | ) | × | 28251 5000 |
| - | 5839 5 | + | ( | 400 | − | 170 | ( | 1 | − | x | ) | ) | × | 28251 5000 | = | 0 |
| Left side of the equation = | - | 5839 5 | + | 400 | × | 28251 5000 | − | 170 | ( | 1 | − | x | ) | × | 28251 5000 |
| = | - | 5839 5 | + | 56502 25 | − | 480267 500 | ( | 1 | − | x | ) |
| = | 27307 25 | − | 480267 500 | ( | 1 | − | x | ) |
| = | 27307 25 | − | 480267 500 | × | 1 | + | 480267 500 | x |
| = | 27307 25 | − | 480267 500 | + | 480267 500 | x |
| = | 65873 500 | + | 480267 500 | x |
65873 500 | + | 480267 500 | x | = | 0 |
Transposition :
480267 500 | x | = | 0 | − | 65873 500 |
Combine the items on the right of the equation:
480267 500 | x | = | - | 65873 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 65873 500 | ÷ | 480267 500 |
| = | - | 65873 500 | × | 500 480267 |
| = | - | 65873 | × | 1 480267 |
We obtained :
| x | = | - | 65873 480267 |
Convert the result to decimal form :
| x | = | - 0.137159 |